Originally Posted by sehgalanuj

Yeah, I had this for some time. Apparently AFKL are now sharing the cookie that has login confirmation across the websites. But the logout was also broken, like for you. I had to do a clear cookies and that solved the problem.

If that doesn't work, try to log out of the FB website. If you manage on any one of them, it should invalidate the stored cookie. Just make sure to not select "remember me" when you sign in again.