Have you checked all your breakers and made sure none of them are tripped?
Related to that, do you have a remote thermometer that you can shoot up to one of your registers and get a temp reading? If so, does it seem warmer than normal (I'm assuming you're using AC this time of year)?
While I don't have a thermostat like yours, after power outages (or even brownouts) at both my house and my rentals, I have had the following happen several times: Unit turns on, but air comes out of the registers at around 70+ degrees instead of the high 50s.
My HVAC guy taught me a trick, because he runs into a lot of this. I forget which component he said is affected, but often after an outage something goes out of whack if the unit was running when the outage hit. The way he told me to fix it is to turn off the thermostat, shut off power at the breaker for 30 seconds than turn the breaker on again and turn on the thermostat. This has worked every time for me.
Kinda like "Have you tried turning it off and on again?"