Can I Restore EFS from a Carrier to Another?

[its_khal]

Hello, please I need help. Few months ago, I messed up my Tmobile S4 SGH-M919 EFS Partition which I didnt make a Backup of. I now have a Null IMEI and an Unknown Baseband. I tried so many methods to Restore it but all wasnt successful. I learnt I could restore it by Restoring a EFS Backup from a Like Device. There was no one to help with their Backup. Now someone is willing to help but has the AT&T S4.

1. Please would this restore my TMobile S4 IMEI?
2. I was sent a Zip file containing two files; efs.img & efs.md5. Please how do I apply the EFS files.

Thank you all.