double authentication upon wake from long sleep

Hello - When my MacBook Pro (details below) sleeps for more than 12 hours or so, it goes into some kind of deep sleep. I authenticate, it gives a little progress bar at the bottom of the screen as if it is resuming OS X or something, then I get the same authentication screen again to log into my computer. But the second screen is not active for quite a while, maybe 2 minutes or so (I cannot type, the trackpad does not register any movements, etc.). Then finally I can start using the computer.

I changed the hibernate settings to traditional sleep mode (suspend to RAM), but that did not do anything that I can tell to solve the problem. Can anyone help me with ideas about how to fix this terrible situation? My older iMac does not exhibit this behavior at all.

MacBook Pro (13-inch, Mid 2012) 2.9 GHz Intel Core i7 running 10.10.3