The Packers slipped to 3-5 with a 27-17 loss to the Bills at Highmark Stadium on Sunday.
Stefon Diggs took six catches for 108 yards, scoring a 26-yard touchdown as Green Bay's miserable run continued.
Rodgers had some harsh words for his team-mates on the Pat McAfee Show last week, stating: "Guys who are making too many mistakes shouldn't be playing, you know. Gotta start cutting some reps, and maybe guys who aren't playing, give them a chance."
The straight-talking quarterback says the Packers must find a way to stop the rot, with the Minnesota Vikings looking like running away with the NFC North at 6-1.
"Nobody feels sorry for us, and we've got to find a way to get one win," he said. "I feel like if we can just get one, then the whole momentum changes."
The Bills charged into a 24-7 half-time lead but were restricted to only three points in the second half.
Rodgers says Green Bay's first-half display was not good enough, but he took heart from their play in the second half.
He added: "We felt like the Packers again. I felt like, for whatever reason, we didn't have the confidence for a few weeks and weren't playing with a lot of energy, weren't amped up before the game, so I liked the way we felt before the game.
"Maybe it's not football, maybe it was being counted out, maybe it was this environment, but that's encouraging. But the play in the first half wasn't very encouraging."
The Packers lost Christian Watson to concussion early on, while De'Vondre Campbell departed with a knee injury and Quay Walker was ejected in the first half for shoving a member of the Bills staff.