Ryan, playing without wide receivers Julio Jones (foot surgery) and Roddy White (hamstring), instead went to Harry Douglas, who racked up a career-best 149 yards with a touchdown on seven catches for Atlanta (2-4).
Running back Jacquizz Rodgers also stepped up his receiving game, making eight grabs for 46 yards and a pair of scores as the Falcons broke a three-game skid against AFC East opponents.
Tampa Bay (0-6) remained winless despite a good game from Mike Glennon, who made good on 26-of-44 pass attempts for 256 yards and two touchdowns.
Vincent Jackson caught both scoring strikes, finishing with 10 receptions on his way to 138 yards for the Buccaneers.
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