I pushed the bat when I played but always hit the ball well to the opposite field. It's feels really funny to me doing a motorcycle move (different term) with the top hand when swinging. How would you teach this part of the swing to make it feel more natural?
Motorcycle move is mostly wrist extension. Turning the barrel is rotation (supination) of the forearm. This is what makes the forearm the axle for the bat. This is what makes the barrel blur out while going rearward.
Two bones in the forearm allow it rotate quite easily