DETROIT -- With his team down by a goal after two periods, Philadelphia Flyers coach Craig Berube had a message for his team. "Stay out of the penalty box," Berube said he told his players between the second and third periods. Apparently, they listened. Sean Couturier had two goal and two assists and the Philadelphia Flyers scored four goals in third period to rally for a 6-3 win over the Detroit Red Wings on Wednesday night. "I liked our game (after two periods), we were playing a good game," Berube said. "You cant go in the box three or four times period and give them 5-on-3s." The Flyers took five penalties and surrendered a 5-on-3 power-play goal in the second. Couturier got the winner at 8:28 of the third period by tipping in a shot. "Its (his big night) good for the confidence. But this was a team game and team success," Couturier said. "All four lines were rolling. We just wanted to get some chances and capitalize on some chances." Couturiers line had a big night as his linemates, Scott Hartnell and Matt Read, each had a goal and two assists. "They just keep plugging along and doing the right things," Berube said about the group. "They keep back-checking and that puts them in the right position for offence." Steve Downie and Claude Giroux had a goal and an assist each for Philadelphia. Steve Mason stopped 32 shots. Philadelphia finished 3 for 3 on the power play. Tomas Tatar scored twice and centre Johan Franzen also scored for Detroit. Jimmy Howard made 28 saves. "In the end I thought we had things going pretty good for ourselves through two. The third period wasnt good enough, they were better than us," Red Wings coach Mike Babcock said. "They were better than us because they lit us up on the power play." Giroux tied it at 3, with a power-play goal 5:15 into the third period. He got his fifth goal, on a shot from the top of the left circle. Hartnell made it 5-3 with a power-play goal 9:58 into the third for his sixth goal. Couturier added an empty-net goal in the last minute. Read scored from the front of the net with 3:22 remaining in the second to pull the Flyers within 3-2. It was his ninth goal. Detroit scored twice in less than two minutes in the middle of the second period to go up 3-1. Franzen beat Mason with a slap shot from the top of the left circle off the rush to break a tie at 8:24. It was Franzens eighth goal. Tatar got his second goal of the game on a 5-on-3 power play by putting in a loose puck from a goal-mouth scramble with 9:47 left in the middle period. It was Tatars fifth goal. The Red Wings Justin Abdelkader hit the post on a partial breakaway with 1:32 left in the first. Tatars first goal of the game opened the scoring with 9:43 left in the opening period on a one-time shot from the bottom of the left circle. Downies power-play goal tied it with 6:12 remaining in the first period. He beat Howard with a wrist shot from the inside edge of the right circle. It was Downies second goal. NOTE: The Red Wings were without both of their star centres, Pavel Datsyuk and captain Henrik Zetterberg. Datsyuk missed his fifth game with a concussion and Zetterberg sat out his first game because of a herniated disc in his back. Zetterberg is expected to miss at least two weeks. ... Flyers C Vincent Lecavalier missed his second game with back spasms. ... Detroit RW Todd Bertuzzi missed his sixth game with an upper-body injury. ... Philadelphia RW Adam Hall is from Kalamazoo and played at Michigan State. .. Red Wings D Danny Dekeyser, who has missed seven games and is on the long-term IR with a separated left shoulder, began skating on Wednesday morning. ... Detroit LW Justin Abdelkader went to the locker room late in the second period after being shoved into the boards from behind by Flyers defenceman Luke Schenn, who got a charging penalty. Abdelkader returned in the third. 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