Hard to say without a schematic. It sounds like the game sees the ball in the Outhole and fires up the Outhole sequence (kick, add ball count, etc.) but the kick doesn't happen. At the end of the Score Motor cycle, it sees the ball in the Outhole and repeats the sequence.
Does the Ball Return relay fire when the ball is in the Outhole? It could be that either that relay doesn't fire, or the switch on that relay that should fire the Outhole Kicker isn't.
/Mark