The Flyers lost for the fifth time in their last six games. Bobrovsky has allowed 12 goals in three games since replacing a flu-zapped Ilya Bryzgalov.
For the second straight game, the Flyers lost because of special teams. They allowed two power-play goals Sunday after giving up three in a 5-2 loss to the New York Rangers on Saturday.
The Red Wings were 2 for 5 with a man advantage, while the Flyers were 0 for 2. For the weekend, the Flyers were 0 for 6 and their opponents were 5 for 13.
"We played against two good power plays, but we made some mistakes and, obviously, it's costing us," said center Max Talbot, who gave the Flyers a brief 3-2 lead late in the second period with his 14th goal, a new career high. "We played against the top team in the East and the top team in the West, and to give up three and two [power-play] goals, it's frustrating because we know the longer the season goes, the more you need to win the special teams."
Peter Laviolette missed a chance for his 107th win as the Flyers' coach. That victory will tie him with Paul Holmgren for eighth place on the franchise's all-time list. Fred Shero is No. 1 with 398 wins with the Flyers from 1972-78.
Talbot, converting Scott Hartnell's bouncing pass, gave the Flyers a 3-2 lead with 3 minutes, 41 seconds remaining in the second period.
But for the second time, the Flyers' lead was short-lived. Henrik Zetterberg scored on a long drive just 2:02 later.
"If we could have gone in there with the lead at the end of the second period, I think that would have shut the [door]," said Laviolette, whose penalty-killing unit was still on the ice when Detroit scored its game-winner - even-strength - in the final period.