The Flyers failed to advance to the post season for just the ninth time in franchise history.
The loss leaves the Senators sitting eighth in the Eastern Conference, but if Ottawa picks up a single point in Sunday's game against the Boston Bruins they would finish seventh.
The Flyers took a 2-1 lead midway through the third as Voracek beat Anderson with a wrist shot quieting the 20,232 on hand.
The Senators continued to struggle with the man advantage, going scoreless on five opportunities.
Ottawa tied the game early in the second as Turris was able to find just enough room short side to beat Mason. The goal came as a result of some good work down low by Chris Phillips and Colin Greening.
Phillips picked up his 200th NHL career assist on Turris' goal.
The Senators were the better team in the first outshooting the Flyers 14-5 and dominating play, but some sloppy play by the Senators in their own end led to Akeson scoring his first NHL goal in his first game in his home city.
Notes: Karlsson was the focus of a pre-game video and fans gave a huge cheer when announced that he was in the starting lineup. C Jim O'Brien, C Peter Regin, LW Guillaume Latendresse, C Mike Hoffman, D Patrick Wiercioch, D Mike Lundin and D Andre Benoit were healthy scratches for the Senators. Ottawa is without C Jason Spezza (upper-body injury, day-to-day).