Anderson made it 2-0 at 5:33 of the second period when he shot off Hellebuyck from below the right face-off circle on the power play.
"I thought we competed tonight," Anderson said. "A full effort from everybody was there tonight, and it was a huge two points. We needed that to get back on track, and we've just got to follow up next game."
Connor cut it to 2-1 at 8:08 with a wrist shot from the right face-off dot.
After Hellebuyck stopped Brendan Gallagher on a penalty shot at 12:11 to keep it a one-goal game, Toffoli intercepted a clearing attempt by Neal Pionk and scored on a 3-on-0 at 19:13 to extend the lead to 3-1.
"I mean, it jumps over the stick and goes towards our zone, and Pionk is trying to get that puck out," Jets forward Nikolaj Ehlers said. "You know, he's got three guys on him and ends up falling down though. I mean, [stuff] happens."
Connor scored his second with a one-timer from the right circle to make it 3-2 at 5:47 of the third period, but Toffoli shot into an empty net at 19:12 for the 4-2 final.