I went through a period a few weeks ago, in which I was asked to log into my Adobe account pretty frequently - quite annoying, frankly. As far as I can tell, the only changes to my system might have been an update or two of Windows 10. I mention this because at some point, it stopped bugging me. It might be a good idea to open the Acrobat (assuming that's the program you're having this issue), and click the Adobe Online Services category on the left, and be sure your account information is listed there. If not, you can enter it, plus there's a Manage Account button that you can use to check out your settings.
Mine just stopped asking, and hopefully yours will too!