The Rockets jumped out to an early 1-0 lead after Connor Weessies scored an unassisted goal less than five minutes into the contest.
But Forest Hills responded near the end of the second period with three goals in less than 30 seconds.
Nathan Sullivan pulled Reeths-Puffer within one when he scored midway through the third period, but the Rockets couldn’t manage an equalizer. Quinn Fowler and Chase Matella assisted on the final goal.
The Rockets were plagued by 10 penalties and were outshot 33-28.