That sort of thing is usually as a result of Cookies being cleared from the computer even those you are happy with but get cleared out when you (or someone else) tells the machine to clear them (and usually all history) for you.
Have you done this recently? I do mine every now and again and get that sort of message up from my usual web sites and need to log in again to all my usual sites.
Kicking you out however is something I haven't come across before. Might be a Kaspersky thing. By the way the 'address' that pops up is never accurate so don't take that for gospel.