The Blue Jackets entered the game with a minus-31 goal differential.
"We've had it done to us more than a few times this year, unfortunately," Severson said. "Teams have come back from not only one, two goals but a lot more than that. So tonight was one of those nights where we just found a way to come back, scratch and claw back and find a way to score two, get it to overtime and then skill takes over from there."
Konecny scored at 17:12 of the first period to make it 1-0 Flyers. Couturier skated the puck into the slot but it rolled off his stick to Farabee, who made a diagonal pass to Konecny on post for a goal.
Philadelphia had a chance to extend its lead with a two-minute 5-on-3 power play after Columbus' Mathieu Olivier was called for interference at 17:45, and on the ensuing face-off Justin Danforth was penalized for delay of game when he covered the puck with his hand.
The Flyers had five shots on goal but Tarasov provided the difference.
"I thought he was outstanding tonight," Blue Jackets coach Pascal Vincent said. "The 5-on-3, guys in front of him did a good job, but at the end of the day, your goalie has to be your key player, especially in the 3-on-5 and he was really good from start to finish."
The Flyers went ahead 2-0 at 4:29 of the third period when Konecny carried the puck on the left side of the Blue Jackets zone, deked around Bean, cut to the net and slid the puck under Tarasov.