NFL: Sweet redemption for Packers kicker Mason Crosby

Mason Crosby kicked a 27-yard field goal as time expired to cap an 81-yard drive set up by Kevin King’s interception with 1:07 left, and the Green Bay Packers outlasted the San Francisco 49ers for a 33-30 win on Monday night.

The final drive was extended after 49ers cornerback Richard Sherman was called for an illegal-contact penalty on third and 15 that wiped out a sack of Rodgers with 43 seconds left.

Quarterback Aaron Rodgers rushed up the middle for a 21-yard gain on the next play. The two-time NFL most valuable player completed two more passes for 19 yards to set up Crosby’s winner for Green Bay (3-2-1).

The veteran was perfect a week after missing four field-goal tries in a loss at Detroit.

“It’s very appropriate, what he went through last week, [for] the team to stick with him,” Rodgers said. “And then he responded.”

Rodgers was 25 for 46 for 425 yards and two scores. C.J. Beathard was 16 for 23 for 245 yards and two touchdowns for the 49ers (1-5).

Beathard connected with speedy receiver Marquise Goodwin for two long scores — a 67-yarder down the middle of the field at the end of the first quarter and a 30-yarder with 6:05 left in the second — and for a while it looked as though the 49ers might hold on for their first victory since quarterback Jimmy Garoppolo was lost for the year in Week 3 with a knee injury.

Turnovers hurt them again — none bigger than King’s pick at the Packers 10.

“Very disappointed. We had a chance to win that game,” coach Kyle Shanahan said. “It hurts.”

The second-year cornerback was locked in one-on-one coverage with Goodwin, who had burned the secondary for four catches and 126 yards. This time, King kept up and pulled in a ball that looked slightly underthrown by Beathard.

Then Rodgers went to work, aided by the penalty on Sherman, who was covering Davante Adams. Adams had 10 catches for 132 yards and a touchdown, one of three Packers receivers to top 100 yards.

The Packers scored 10 points in the final two minutes, capped by Crosby’s fourth field goal of the night.

“This week was a grind; it was one of the tougher weeks of my career,” Crosby said about bouncing back from his awful game last week.

It’s just what the Packers needed going into their bye week before they visit the Rams on Oct. 28. For the 49ers, who host the Rams on Sunday, it was a tough pre-lude to facing the top team.

“We had every opportunity to finish and win that game and we didn’t get it done,” Shanahan said.