Khudobin stopped all nine shots he faced and the Bruins used goals by Tim Schaller and Torey Krug 1:27 apart to close within 4-3. Schaller jammed in the rebound of Danton Heinen's shot at 11:30, and Krug knocked in his own rebound at 12:57 on a power play.
"You see in the third period if you're willing to put in the work, it pays off," Krug said. "We were able to climb back in the game and give ourselves a chance. You can try to use as many excuses you want, but you've got to be more committed to battles and I'm a big part of that as well."
Nathan MacKinnon, who had two assists, passed to Yakupov on a 2-on-1 rush for his third goal of the season at 1:00 of the second period to give the Avalanche a 2-1 lead.
Andrighetto made it 3-1 on a power play at 12:37 off a MacKinnon pass. The Avalanche increased their lead to 4-1 at 15:43 when Yakupov fed Duchene in the right circle for his second goal.
The Avalanche got a scare at 11:53 of the second period when Jost needed help to get off the ice after he was cross-checked by Bruins defenseman Adam McQuaid, but he was able to return.
"He was kind of in a bad spot, loses his edge and goes in hard [against the boards]," Bednar said. "Fortunately, he's not hurt. To see him bounce back, our guys are pretty excited to come back out there."