Frost knocked in a loose puck in the crease during a Philadelphia power play to tie it 3-3 at 5:59.
Cates' second goal gave him seven in the past 13 games after he scored two in his first 27. His ice time also has risen in that span, from 12:52 per game to 16:26. That includes playing 2:03 of the final 2:26 with Bobrovsky pulled for an extra attacker while defending a one-goal lead.
"Every player wants responsibility, and we're certainly giving it to him," Flyers coach John Tortorella said. "He sees the door's open as far as the minutes that he's getting."
That trust is feeding Cates' confidence in his own game.
"I think I'm pretty dialed in in all areas, every zone," he said. "Getting opportunities 4-on-4, PP, PK, and just feel focused and dialed in on kind of all aspects of my game."
Reinhart put the Panthers ahead 1-0 with a short-handed goal at 7:59 of the first period. He intercepted a pass at the Philadelphia blue line, skated down the left-wing boards, cut through the slot and scored from a sharp angle on the right side.
Balinskis made it 2-0 at 9:34 with a shot from the right face-off circle.
But the Panthers couldn't sustain their first-period momentum.
"You see the difference when we're dictating the pace and when we're playing our game," Reinhart said. "We carry the play. Just got away from that, played into their hands a little bit, played into their game a little bit and we were on our heels. That's the difference from the first period to the next two."
NOTES: Philadelphia's six wins when trailing after two periods are tied with the Vegas Golden Knights for most in the NHL. ... The Flyers, who scored two power-play goals in their 6-0 win against the Anaheim Ducks on Saturday, scored multiple power-play goals in consecutive games for the first time since Jan. 31 and Feb. 2, 2019. ... Cates is the fourth Flyers player in the past 20 years to score a game-tying and go-ahead goal in the third period, joining Brayden Schenn (Dec. 10, 2016), Claude Giroux (Dec. 19, 2013) and R.J. Umberger (Nov. 16, 2006). ... Hathaway, who also scored against the Ducks, has goals in consecutive games for the first time since Dec. 22-28, 2023. ... Reinhart's short-handed goal was his NHL-best fifth of the season; he also scored five last season. He joined Mike Richards (five, 2007-08; seven, 2008-09) as the only players in the past 20 years to score at least five short-handed goals in consecutive seasons. ... Frost has goals in three straight games for the second time in his NHL career (Dec. 17-22, 2022).