Nick Perry sacked the Bears' Mitchell Trubisky on fourth-and-10 with 58 seconds to complete the comeback.
Rodgers was hurt trying to protect himself against pressure from Mack and defensive lineman Roy Robertson-Harris. Rodgers went down on a play during the middle of the second half.
Allison completed a terrific reception on Rodgers' first touchdown pass, hauling in the ideal throw in the corner of the end zone with Kyle Fuller trailing in coverage.
Add this game to the two-time NFL MVP's already lengthy career highlight reel. Going 20-for-30, Rodger threw for 286 yards and three touchdowns.
It was Rodgers' first regular-season game home game since September 28 against the Bears.
Meanwhile, Aaron Rodgers is fully healthy after playing in just seven games last season.
Based on La Canfora's report and what the Raiders have acknowledged publicly through Jon Gruden and Reggie McKenzie, it sounds like the Raiders wanted to extend Mack's contract with their initial offer or let him play out the final year of his rookie deal. But still, on one leg, he was still Aaron Rodgers and he put together a few magnificent drives to get Green Bay back in the game.
Rodgers hasn't done much outside the pocket since returning, operating a no-huddle offense. From full-house backfields to empty sets, the Bears were able to keep the Packers guessing. He says that's the knee Rodgers tore his ACL on in high school and had repaired in college. Almost all of that came in the second half.
Rodgers attempted to get on his feet following a sack but crouched to the turf, grasping the back of his left leg.
"(I was thinking) something special", he said.
Bears: The Bears played a near-perfect first half which gave them a chance to win the game, however, it was not to be as multiple errors and a dropped interception cost the Bears late.
Trubisky made a valiant effort, going 23-of-35 passing for 171 yards. He ran 64 yards after the catch for a 75-yard go-ahead touchdown with 2:13 left. Right tackle Brian Bulaga, Mack's regular matchup, said there were several plays of the first half that he wants back. If Green Bay had scored a touchdown, they would've won either way.