From what I can tell, your modem is seen as a CD instead of as a modem (many of these devices support both modes). No idea if it's a regression in 374.726 or what, I have no way of testing this.
See if the same issue occurs with Asus's 374_726, if it does I recommend contacting their tech support about it.
Thanks for the prompt reply!
I have already contacted Asus but their response is to want to RMA the router. It's hard for me to believe that both routers need to be replaced!
The LG USB modem works fine on an old Cradlepoint router and I can get a Verizon USB modem to work with either Asus router.
Here is the log from my work modem that is running Asus 3.0.0.4.374.720.
Oct 11 07:45:51 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 4
Oct 11 07:45:52 kernel: hub 1-1:1.0: unable to enumerate USB device on port 2
Oct 11 07:46:06 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 5
Oct 11 07:46:06 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:46:06 kernel: scsi1 : SCSI emulation for USB Mass Storage devices
Oct 11 07:46:08 kernel: scsi 1:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:46:08 kernel: scsi 1:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:46:14 kernel: usb 1-1.2: USB disconnect, address 5
Oct 11 07:46:22 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 6
Oct 11 07:46:22 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:46:22 kernel: scsi2 : SCSI emulation for USB Mass Storage devices
Oct 11 07:46:24 kernel: scsi 2:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:46:24 kernel: scsi 2:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:46:30 kernel: usb 1-1.2: USB disconnect, address 6
Oct 11 07:46:38 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 7
Oct 11 07:46:38 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:46:38 kernel: scsi3 : SCSI emulation for USB Mass Storage devices
Oct 11 07:46:40 kernel: scsi 3:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:46:40 kernel: scsi 3:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:46:42 dnsmasq-dhcp[296]: DHCPINFORM(br0) 192.168.1.29
10:78:d2:cd:57:f6
Oct 11 07:46:42 dnsmasq-dhcp[296]: DHCPACK(br0) 192.168.1.29 10:78:d2:cd:57:f6
DrZ-PC
Oct 11 07:46:46 kernel: usb 1-1.2: USB disconnect, address 7
Oct 11 07:46:53 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 8
Oct 11 07:46:53 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:46:53 kernel: scsi4 : SCSI emulation for USB Mass Storage devices
Oct 11 07:46:55 kernel: scsi 4:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:46:55 kernel: scsi 4:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:47:01 kernel: usb 1-1.2: USB disconnect, address 8
Oct 11 07:47:09 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 9
Oct 11 07:47:09 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:47:09 kernel: scsi5 : SCSI emulation for USB Mass Storage devices
Oct 11 07:47:11 kernel: scsi 5:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:47:11 kernel: scsi 5:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:47:17 kernel: usb 1-1.2: USB disconnect, address 9
Oct 11 07:47:24 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 10
Oct 11 07:47:24 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:47:24 kernel: scsi6 : SCSI emulation for USB Mass Storage devices
Oct 11 07:47:26 kernel: scsi 6:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:47:26 kernel: scsi 6:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:47:33 kernel: usb 1-1.2: USB disconnect, address 10
Oct 11 07:47:40 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 11
Oct 11 07:47:40 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:47:40 kernel: scsi7 : SCSI emulation for USB Mass Storage devices
Oct 11 07:47:41 dnsmasq-dhcp[296]: DHCPINFORM(br0) 192.168.1.69
10:78:d2:cd:c2:fe
Oct 11 07:47:41 dnsmasq-dhcp[296]: DHCPACK(br0) 192.168.1.69 10:78:d2:cd:c2:fe
Martha-PC
Oct 11 07:47:42 kernel: scsi 7:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:47:42 kernel: scsi 7:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:47:48 kernel: usb 1-1.2: USB disconnect, address 11
Oct 11 07:47:56 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 12
Oct 11 07:47:56 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:47:56 kernel: scsi8 : SCSI emulation for USB Mass Storage devices
Oct 11 07:47:58 kernel: scsi 8:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:47:58 kernel: scsi 8:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:48:04 kernel: usb 1-1.2: USB disconnect, address 12
Oct 11 07:48:11 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 13
Oct 11 07:48:11 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:48:11 kernel: scsi9 : SCSI emulation for USB Mass Storage devices
Oct 11 07:48:13 kernel: scsi 9:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:48:13 kernel: scsi 9:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:48:19 kernel: usb 1-1.2: USB disconnect, address 13
Oct 11 07:48:27 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 14
Oct 11 07:48:27 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:48:27 kernel: scsi10 : SCSI emulation for USB Mass Storage devices
Oct 11 07:48:29 kernel: scsi 10:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:48:29 kernel: scsi 10:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:48:35 kernel: usb 1-1.2: USB disconnect, address 14
Oct 11 07:48:42 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 15
Oct 11 07:48:43 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:48:43 kernel: scsi11 : SCSI emulation for USB Mass Storage devices
Oct 11 07:48:45 kernel: scsi 11:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:48:45 kernel: scsi 11:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:48:51 kernel: usb 1-1.2: USB disconnect, address 15
Oct 11 07:48:58 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 16
Oct 11 07:48:58 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:48:58 kernel: scsi12 : SCSI emulation for USB Mass Storage devices
Oct 11 07:49:00 kernel: scsi 12:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:49:00 kernel: scsi 12:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:49:06 kernel: usb 1-1.2: USB disconnect, address 16
Oct 11 07:49:14 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 17
Oct 11 07:49:14 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:49:14 kernel: scsi13 : SCSI emulation for USB Mass Storage devices
Oct 11 07:49:16 kernel: scsi 13:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:49:16 kernel: scsi 13:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:49:22 kernel: usb 1-1.2: USB disconnect, address 17
Oct 11 07:49:29 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 18
Oct 11 07:49:29 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:49:29 kernel: scsi14 : SCSI emulation for USB Mass Storage devices
Oct 11 07:49:31 kernel: scsi 14:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:49:31 kernel: scsi 14:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:49:37 kernel: usb 1-1.2: USB disconnect, address 18
Oct 11 07:49:45 kernel: usb 1-1.2: new high speed USB device using ehci_hcd and
address 19
Oct 11 07:49:45 kernel: usb 1-1.2: configuration #1 chosen from 1 choice
Oct 11 07:49:45 kernel: scsi15 : SCSI emulation for USB Mass Storage devices
Oct 11 07:49:47 kernel: scsi 15:0:0:0: CD-ROM LGE mobile 1.0 PQ: 0
ANSI: 0
Oct 11 07:49:47 kernel: scsi 15:0:0:0: Attached scsi generic sg1 type 5
Oct 11 07:49:53 kernel: usb 1-1.2: USB disconnect, address 19
Thanks again!