Miles Wood gave New Jersey a 3-0 lead with an unassisted goal at 5:14 of the second.
Lindblom scored 15 seconds later on a rebound at the right post to pull Philadelphia within 3-1 at 5:29.
Myers scored unassisted to make it 3-2 at 2:24 of the third period, and Giroux tied it 3-3 at 3:34 when he scored on a wrist shot.
Carrick scored his first goal of the season in his sixth game to give the Devils a 4-3 lead at 8:04.
"We all know that if you're going to be a defenseman, you have to defend first, and [Carrick's] defended well," New Jersey coach Lindy Ruff said. "To get involved in the offense and score that goal ... it's like a huge bonus."
Blackwood made a save against Giroux alone in the slot with 19 seconds remaining and Elliott pulled for an extra attacker.
"We need to be better," Couturier said. "We need to be more ready from the start of the game and be tougher to play for a whole game. We can be on and off. When we're on, we're one of the best teams, but we got to be more consistent."
Mikhail Maltsev scored an empty-net goal with two seconds left for the 6-4 final.
New Jersey rookies Maltsev, Sharangovich, Smith and Janne Kuokkanen combined for five points (two goals, three assists).
"The trait I like about our rookies is their will to never quit; it's been there the whole year," Ruff said. "I like the desire to make a difference inside the game. There's been some ups and downs, but that desire to make a difference, to be a player they believe can help this team win on a regular basis."
NOTES: Flyers defenseman Egor Zamula was plus-1 with three shots on goal and one blocked shot in 19:19 in his NHL debut. ... Smith, a defenseman, had two blocked shots in 15:50 in his return to the lineup after missing four games with an upper-body injury.