Patrik Laine made it 3-0 at 4:26 on a one-timer from the left face-off circle.
Chinakhov scored his second goal after a toe drag in the slot for a 4-0 lead at 5:03. Andersen was pulled after the goal.
"I've never done that before, never practiced that," Chinakhov said. "It looked like the goalie waited for a shot and I made the move. It just worked out that way."
Cole Sillinger scored 30 seconds later on a breakaway to make it 5-0 at 5:33 on the first shot LaFontaine faced.
"That was my first breakaway, so it was good to score," Sillinger said. "I know it was a different goalie, but I saw [Chinakhov] score blocker side coming down the same side. I saw an opening and just shot it there."
Roslovic took a pass from Alexandre Texier and scored on a breakaway at 14:26 for the 6-0 final.
"We were giving up breakaway after breakaway," Brind'Amour said. "I'm not going to leave 'Freddie' in there to keep having that. I figure, maybe we throw [LaFontaine] in and we decide, oh, we better not give those up. But that's not what happened. I hate that we threw him in for that, but he got his feet wet a little bit."
It was the first time the teams played each other since Carolina scored seven straight goals to win 7-4 on Jan. 1 at Columbus.
"You don't want to overthink this," Larsen said. "It's one game. We played a good game and I'm happy we did. I think what you take from it is what it felt like on the bench, the engagement. I'm not going to think too far ahead on so much the lessons, other than we played a really solid game. That should be a little bit of a barometer of what it should look and feel like on the effort side."
NOTES: The Blue Jackets scored the second-fastest three goals in their history. They scored three in 51 seconds in a 7-1 win against the Pittsburgh Penguins on Dec. 22, 2016. … Texier had an assist and two shots on goal in 13:34 after missing two games in COVID-19 protocol. … Andersen was named to the 2022 Honda NHL All-Star Game. … Hurricanes defenseman Brady Skjei had a three-game goal streak end in his 400th NHL game. … Carolina was 1-for-1 on the penalty kill and has killed 30 straight since last allowing a power-play goal Dec. 7 in a 4-2 win at the Winnipeg Jets.