Richards broke a scoreless tie at 10:15 of the second off a series of lucky bounces. Simon Gagne knocked the puck out of the air and off Flames defenseman Jay Bouwmeester. It bounced right to Richards, who ripped a high shot past Miikka Kiprusoff.
The Flyers extended the lead to 2-0 at 1:49 of the third after Calgary captain Jarome Iginla turned over the puck in the Philadelphia end. Arron Asham fed Claude Giroux, who sped in alone on Kiprusoff and neatly put a backhand over the goalie.
Richards added his 22nd of the season on a power play at 17:44.
All four players acquired by the Flames in Sunday's blockbuster trade with Toronto that sent defenseman Dion Phaneuf, forward Fredrik Sjostrom, and minor league defenseman Keith Aulie to the Maple Leafs were in Calgary's lineup.
Matt Stajan moved onto the top line between Iginla and Dustin Boyd. Finnish left-winger Niklas Hagman joined countryman Olli Jokinen on a line with Jamie Lundmark.
Jamal Mayers skated on the fourth line, and defenseman Ian White not only assumed Phaneuf's old jersey No. 3 but also paired with his former defense partner Robyn Regehr.
The Flames recorded 18 shots, their second-lowest total this season.
Hagman fanned on a shot from the top of the circle in the first, and White missed the net badly on a dangerous opportunity in the second.
Calgary's best scoring chance came while short-handed in the first, and Emery didn't need to make a save. Defenseman Adam Pardy raced up ice to join Curtis Glencross but his shot sailed wide.
The Flyers will look for their 10th win in 14 games at Edmonton on Wednesday.
Calgary lost for the seventh time in eight home games (1-6-1 in their last eight). The Flames have scored only 12 goals in that span, six coming Saturday in a win over Edmonton.
One of the reasons for bringing in Hagman (20 goals, 13 assists) and Stajan (16 goals, 25 assists) was to rejuvenate the slumbering offense. But the Flames produced their fewest shots since a 3-0 loss at Detroit on Nov. 27.
NOTES: Flames rookie C Mikael Backlund was scratched. Since he was recalled from Abbotsford (AHL) on Jan. 26, the Flames went 1-0-2 in Backlund's first three games. The 20-year-old Swede had one goal and one assist in the three games. ... Calgary's first power-play unit also had a new look with Iginla up front with Stajan and Hagman. ... Philadelphia has won its last three visits to Calgary. The Flyers' last loss there was a 3-1 defeat on March 22, 2001. ... D Lukas Krajicek played in his first game after signing with the Flyers on Sunday.
