Your doors turned out great. After watching your painter do the doors you now see why its hard to explain the process in writing. Just make sure you now have at least two good coats of poly on to protect the surface. You will want to save a little of the stain for touch ups as things will get bumped.
If you still have a sheen issue with the touch up the painter did lightly(3m scuff pad) sand the entire door once everything is dry and reapply the poly to the whole door.I'm getting ready to do three of the same doors in my basement . Hope they trun out as good as yours.