The Monsters finished three road games in four nights with a 6-0 loss to Hershey on Dec. 9.
The Bears scored their first three goals on power plays and outshot the Monsters, 33-21.
Cleveland goalie Pavel Cajan gave up five goals in 29 minutes, 50 seconds before giving way to Daniil Tarasov, who stopped 16 of 17 shots the rest of the way.
The Monsters (14-6-1-0) are off until Dec. 14, when they host Belleville.