No that Rom don't update the modemThank you A140 for the hint! But I couldn't see from the description whether the ROM also updates the modem. Does it?
I have big problems using mobile internet with T-Mobile (DTM): 2G and 3G heat up the phone, LTE doesn't even work. It's not the case with a Vodafone Sim card. Therefore, my point is to update the modem, not the ROM.
But in your case you cannot access odin due to USB port not working and you want to update the modem.....
Try this flashfire app
https://www.apkmirror.com/apk/chainfire/flashfire/flashfire-0-73-release/
Download modem file (according to your device model) then open the app and flash modem.tar file
Note:It needs SuperSu root by chainfire otherwise it will not work (Not with magisk or other root)