The NHL on Thursday fined Therrien $25,000 and Savard $50,000 for their actions following the controversial 3-2 defeat.
Security officials at the Continental Airlines Arena reportedly had to restrain Savard, who was trying to enter the officials' locker room.
The Canadiens had a first-period goal disallowed when referee Kerry Fraser ruled that Mike Ribeiro made contact with goaltender Martin Brodeur. They became incensed after referees did not call a penalty on New Jersey's Jeff Friesen for knocking down Montreal goaltender Jeff Hackett just before Joe Nieuwendyk scored the go-ahead goal with 10:11 left in regulation.
"First of all, we believe we got robbed. There's no doubt about that," Therrien said after the game.