ORCHARD PARK, N.Y. — Christian Benford apologized with a laugh, because the Buffalo Bills cornerback wasn’t supposed to jump when he instinctively leaped to snag Joe Burrow’s attempt to lob a pass over his head.

“I actually didn’t do my technique right, if I’m being honest,” Benford said. “But I don’t know, God just gave me something for me to leave my feet. I’m sorry, but then the rest was history.”

Benford intercepted Burrow’s soft toss and returned it 63 yards for a go-ahead touchdown with 5:25 left, Josh Allen threw for three touchdowns and ran for one, and the Bills beat the Cincinnati Bengals 39-34 on a snowy Sunday.

By the time Benford outran intended receiver Ja’Marr Chase to the end zone, everyone on the Bills sideline was leaping for joy. It was one of three touchdowns in a span of 4:20 for Buffalo, which overcame a 10-point fourth-quarter deficit.

“It’s fun to see your brother who does his job … and can make plays for your team in big moments of the game,” Allen said. “It’s so awesome. He deserves every bit of it.”

Two of Allen’s passing TDs came on fourth down. He also scored on a 40-yard run — breaking his own team record for the longest rushing TD by a quarterback — and capped the victory with a 17-yard scramble to convert a third-and-15 and allow Buffalo to run out the clock.

It wasn’t pretty. And it was a little sloppy with the field slicked by persistent snow flurries.

What mattered for Buffalo (9-4) was the outcome. The Bills have won two straight for the first time in a month and kept pace in the tightly packed AFC.

The Bengals (4-9) saw their already shaky playoff prospects dim even further. Their only realistic shot entering the weekend was winning the AFC North, but they fell three games behind Pittsburgh.

“Just sick for the guys,” Cincinnati coach Zac Taylor said. “They made more plays than us down the stretch.”