WWE has noted that the WWE Network log in issue for Xbox 360 owners has been resolved.
The “Ask WWE Network” twitter page announced the following:
Great News! We have updated the Xbox app. The WWE Network login issues for Xbox 360 users has been resolved.
Xbox 360 owners should be able to watch all the WWE they can handle now. There might still be some issues along the way, but at least you can now log in.
The network app will come to the Xbox One sometime during the Summer.