Corey Perry opened the scoring with his 34th goal of the season at 4:18 of the second period, assisted by Matt Beleskey and Ryan Getzlaf. But Backes tied the score with a power play goal at 11:38 of the second period.
Patrik Berglund scored the go-ahead goal at 4:47 of the third period, his 14th of the season, and two minutes later Backes scored his second goal of the night.
The Ducks continue their road trip on Saturday night against the Colorado Avalanche at the Pepsi Center in Denver.
For more news and notes regarding Ducks hockey, be sure to read Anaheim Calling.