The Flames stretched their winning streak to three games by handing the Hurricanes their second straight shutout loss.
Backland scored his seventh goal of the season for the Flames, who notched their second power-play tally in 27 chances. Monahan scored his 13th goal midway through the third period to add some insurance.
Ramo improved to 8-8-3 as the Flames swept the two-game season games from Carolina.
I got a chance to play a thousand games and that's pretty special to me. To get a thousand [points], it's a great accomplishment. I'm not going to hide my feelings, I'm proud of that. To do it on a win, do it on a goal, I think it makes it special.
— New York Rangers forward Martin St. Louis after scoring his 1000th NHL point on Friday