The Canadiens also placed forward Jesperi Kotkaniemi on injured reserve.
Poehling returns to Montreal for the second time this season after playing four games for the Canadiens in early November. The 20-year-old has five goals and 12 points in 26 games for the Rocket this year.
Folin, 28, returns to the Canadiens after completing a conditioning stint in Laval that started on Nov. 27.
Kotkaniemi, 19, suffered a concussion against the Colorado Avalanche on Dec. 5 and has missed the Canadiens’ last two contests.
Montreal hosts the Ottawa Senators on Wednesday night.