Toninato gave the Jets a 1-0 lead at 7:14 of the first period, tipping Brenden Dillon's point shot.
Kyle Connor scored his 41st goal of the season to make it 2-0 at 12:30 with a shorthanded breakaway. He has scored 20 points (eight goals, 12 assists) in a 10-game point streak.
"I liked the way that we committed to playing without the puck tonight," Lowry said. "I like the way that we played 200 feet and I like the way that we managed the puck through the neutral zone."
Boqvist cut it to 2-1 at 13:01 with a wrist shot from the point on the power play.
Gaunce tied it 2-2 at 3:22 of the second period after stealing the puck from Jets defenseman Logan Stanley and scoring with a wrist shot from the high slot.
"A big goal for us," Larsen said. "[Gaunce] gets one. I thought we had contributions all through our lineup. I've got no issues with how we played. We played hard tonight."
Morrissey put the Jets back in front 3-2 at 19:29 with a point shot on the power play.
"I think the second period we kind of gave them a little bit too much, and that kind of team, when you give them too much ice they're going to play with you," Laine said. "It wasn't the best game we've played, but I wouldn't say it was the worst either."
Laine, Roslovic and Blue Jackets assistant coach Pascal Vincent received a tribute to their time in Winnipeg on the video scoreboard in the first period.
"You don't know before what kind of welcome you're going to get and, yeah, I was pretty happy with mine," Laine said. "It was great to hear when everyone clapped their hands and cheered for all of us, so it was pretty cool."
Said Roslovic: "A little nervous energy. Just everyone around here, around the rink, the staff and the security and people that work here that I hadn't seen, so it was good to see them, and it was pretty normal right from the puck drop, so you try to get into it as best as you can."
NOTES:Jets forward Jansen Harkins left in the second period with an upper-body injury. Lowry says he will be evaluated Saturday. … Roslovic, who was part of the Laine trade, had an assist, three shots and three hits in 20:10. … Comrie has won each of his past five starts and is 8-2-1 this season. … Boqvist played 15:14 after missing 11 games with an upper-body injury. … Columbus forward Emil Bemstrom had an assist in his 100th NHL game. … Morrissey has scored four goals in his past six games. … Toninato had his first multipoint game in his 148-game NHL career. … Winnipeg forward Zach Sanford had an assist, his first point in three games since he was acquired in a trade with the Ottawa Senators on Monday. … Jets forward Adam Lowry had three shots and five hits in 13:56 after missing three games in NHL COVID-19 protocol. … The Jets lost 5-2 to the Senators on Thursday.