ts, ts ts!
What is your problem?
An egg turner needs to be moved at any desired interval of one hour with the speed low enough to keeps eggs inside the tray.
Again, what's the problem here?
A complete windshield wiper set with a geared motor, a crankshaft and a push rod work perfect for that application.
The windshield wiper drive normally uses 180 degrees (close to 90 degrees) to wipe through full left and full right. Reduce the angle close to 45 degrees left and and you're done!
This can be done by placing the push rod's suspension point further away from the pivot point of the tray or shortening the crank.
For an initial testing arrangement you would probably need a six-pack of beer to salvage the required parts at a car junk yard.
That kind of egg turner guarantees no fried chicken right after they have hatched.
If you keep the number of eggs loaded into one tray balanced around the pivot point you'll get along with a toy motor mounted to a reduction gear.
Even stacking trays won't increase the mechanical work of the turner if loads left and right of the pivot points are balanced.
Life can be easy or just wonderful if you get the right ideas at the right time!
Boncuk