DETROIT — Plagued by injuries yet again, the Flyers needed to dig deep to find production from every corner of their lineup on Saturday in their rematch against Detroit Red Wings at Little Caesars Arena. With third-line center Derick Brassard and second-pairing defenseman Rasmus Ristolainen ruled out for the game, the Flyers called on forward Jackson Cates and defenseman Kevin Connauton to start against the Red Wings. While outshooting the Red Wings, 34-23, with a lineup full of backups and AHL call-ups, the Flyers lost, 4-2, and dropped their second straight game out of the All-Star break. “T…