Bookwyrm627: I seem to recall seeing in some other thread that this is an issue with Galaxy.
Running off memory, from a thread I didn't closely read, for a game I don't have, using a downloader that I avoid:
There was something about going to Galaxy and start it from there to bring up the main menu screen. Then time should be tracked.
Edit: Found the thread
https://www.gog.com/forum/age_of_wonders_series/planetfall_galaxy_does_not_count_played_time/post2 Though post 3 says that workaround doesn't work anymore. Regardless, you are not alone in being affected.
The workaround does till work, I figured out what the trick is. You have to load into a game first. If you open the launched again while still at the main menu, or while it's still loading, it will close the game. But if you actually load up into a game first, then you can re-open the launcher without it shutting the game down.