GFWL is funny at times. Make sure you're logged in "before" doing the updates. I've seen your issue before and the suggestion I offered works for me.
Let me know
I have been logged in got the update then boom error
I played one live co-op the day i got it once the update went down i can't log on to live properly
So I read one suggestion to delete the live version from the game then download the live from the site it worked for getting the game running which it quit when live was deleted
Ok so moving forward after that i can log on to live from a seperate log on like a yahoo messenger type deal
then on top of that i have to re login on the game I don't understand what the hell it is doing this for but i figured if im already logged in live i should be able to update and just move forward
So what would be some other suggestions i also tryed to repair it many times i havn't tryed to uninstall since i been making progress which it really wierd cause it says im logged into live but i can't co op or anything or get downloadable content
I also didnt log on to live once and my saved files were gone but when i did the oppesite they appeared
kinda whacky and annoying