Disconnect From XBL When Signing in Another Account

Heya, currently experiencing an issue with XBL. I have a gold account and my dad has an offline account that we use to play split-screen games together. Sometimes when he signs in, I'll get booted from XBL and be asked to put in my email/password again.
When I put them in, it gives an error and won't let me sign in unless I reboot the console (it keeps asking for email/pw as soon as I sign in). The error code is 80072EF3. I've only experienced and tested this with Borderlands 2. It did not happen at all when
the game first came out, only when we started trying to play it again about a month ago. I've tried deleting my profile, clearing the system cache 3x, rebooting the xbox, and then redownloading my profile. It did not fix it. Any other solutions?

:)

 

I need help it said my console was banned(PLEASE READ)

The XBL enforcement team probably won't read this - you should contact XBL support. The person who signed into your account probably did something very bad to get your account Console Banned - the only other possibility is that you were Console Banned to keep your details secure and that you should contact Microsoft.

 

Disconnecting my Xbox Live Account from my Origin Account

I was wondering if there was any way to disconnect the Origin account from the XBL account, using the XBL account; any suggestions?

 

Have you checked your net settings? Is the NAt opened or moderate?

 

What kind or router/modem are you using?

 

Here's the troubleshooting page for
error 80072EF3. If this doesn't help, it generally means that your console is getting high response times when it's trying to establish a connection. Post back and let us know if this page helped you out or you need more help with the networking side of
things.

 

I have a Cisco Linksys E1200 router, and a Thomson RCA DCM425 modem. I've tried all the solutions on the troubleshooting page but still no luck.

 

Just tested it a whole bunch with CoD: BO2 and BL2. Signed in and out a whole bunch with my dad's account while I was signed into XBL, and rebooted the console a few times but it never happened. I guess the issue is resolved for now, but if it pops up again
I'll post here. Thanks for the help.

 

Bumping this back up. Just had it happen again with Diablo 3. Recap of the issue:

Randomly, when signing another offline account in while I'm on my XBL gold account, my XBL account will be disconnected and I'll be prompted to enter my email/pw, but I'll get error code 80072EF3 and they won't be accepted. I then can't sign in unless I
shut off the xbox as it asks for email/pw every time I try to sign in. I've experienced this in a variety of games. I tried all the troubleshooting solutions on the error code page but no luck. I have a Cisco Linksys E1200 Router and a Thomson RCA DCM425 Modem.

 

What kind of adapter you are using between the router and your modem?

 

The router is plugged directly into the modem with an ethernet cable.