Kuzmenko, a 26-year-old forward in his first NHL season after eight seasons in the Kontinental Hockey League, has 34 points (17 goals, 17 assists) in 37 games.
"He was a big part of the win," Miller said. "He's got really good vision. I think he was a passer before he got here, but you guys know how hard he shoots the puck, he just fires it. And he's got a nose for the net, and obviously if he's going to play with Petey, he's just got to go there and it's going to end up on his stick."
Brock Boeser put the Canucks ahead 3-2 just 34 seconds later on a rebound in the slot after Georgiev stopped Bo Horvat in tight.
Delia stopped Darren Helm on a breakaway at 17:44, and Miller scored into an empty net at 18:24 for the 4-2 final.
"We all felt that we were playing a solid hockey game, even being down by two," Boeser said. "For the second (power-play) unit to go out there and get that goal, and then [Kuzmenko] scored again right after and then I scored after that, I think it just showed that we were committed and playing the right way, and being patient and sticking to our system. And it paid off."