Missing at least eight regulars because of complications related to COVID-19, the Browns trailed 24-12 in the third quarter but nearly came all the way back.
Cleveland (7-8) narrowed the deficit to 24-22 on Mayfield’s 5-yard pass to Anthony Schwartz with 4:31 left. The Browns then forced a punt and got the ball back at their 25 with 2:05 and three timeouts remaining. They had third-and-10 at the 50 when Douglas picked off Mayfield’s pass intended for Donovan Peoples-Jones at the 40.
Darnell Savage and Chandon Sullivan also had interceptions. Rashan Gary had two of the Packers’ five sacks against the Browns, whose offensive line was decimated with left tackle Jedrick Wills and center JC Tretter both on the COVID-19 list.
Until the Browns produced their second-half threat, the day belonged to Rodgers, who broke Favre’s record by throwing an 11-yard TD pass to Allen Lazard in the first quarter.
Rodgers spent his first three NFL seasons backing up Favre before taking over in 2008. Favre sent a message to Rodgers in a video that aired on the Lambeau Field scoreboard after the record-breaking touchdown pass.
“Hey, 12, congratulations, man, on passing my touchdown record,” Favre said. “I have one request. Go get us another Super Bowl. Congrats.”
Rodgers later threw two touchdown passes to Davante Adams, who had 10 catches for 114 yards. Adams has caught at least 10 passes for 100 yards and two touchdowns in eight career games, the most of anyone in NFL history.
The Packers already have clinched the NFC North title and are seeking the conference’s top playoff seed as they chase their first Super Bowl berth since their 2010 championship season. They have lost in the NFC championship game each of the last two seasons.
Rodgers went to the locker room late in the first half after aggravating his toe injury but didn’t miss a down. Rodgers has been playing with a fractured left pinky toe. Packers guard Royce Newman appeared to step on the injured toe inadvertently. ... Packers DL Tyler Lancaster left in the fourth quarter.
Browns: visit the Pittsburgh Steelers on Jan. 3.
Packers: host the Minnesota Vikings on Jan. 2 in their regular-season home finale.