Vikings linebacker Eric Kendricks also was assessed a roughing the passer call after a hit on Rodgers.
"What are my emotions?" Cousins said afterward. "I am exhausted, and I don't know what to feel after a tie".
"There were times when we could have won it and there were times when the Packers felt like they should have won it", Cousins said.
This week the Packers face a stiff test in the Vikings passing offense, which added quarterback Kirk Cousins in the offseason.
With the game on the line, Carlson missed, leaving both teams with a dissatisfying tie.
He had to be spot-on, faced with a small window to score a touchdown and nail the 2-point conversion to force overtime. Thielen caught 12 passes for 131 yards and a touchdown, and Diggs had nine receptions for 128 yards and two touchdowns.
Matthews was livid about the call - the second against him in two weeks for roughing the passer.
The Green Bay Packers' defense thinks that the new rules in place to protect quarterbacks makes it hard to play defense.
Clay Matthews Jr. pressured Cousins on the first-down play, hitting the quarterback just after he threw and knocking him to the ground in what appeared to be a legal takedown.
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The hit wasn't late by any stretch of the imagination, wasn't punishable due to the new "full body weight" rule, and was simply a tackle.
It came on this brilliant 75-yard pass from Cousins to Diggs.
The Packers took a 20-7 lead entering the fourth quarter on Rodgers' 9-yard touchdown pass to Davante Adams in the second quarter and a pair of Crosby field goals.
It's also the second straight week a dubious roughing call changed the outcome of a game. That Green Bay drive ended with a 37-yard Mason Crosby field goal just before halftime. Cousins pulled on his own experiences in relaying words of encouragement to the rookie kicker. I thought I hit him within his waist to chest, I got my head across, put my hands down. There were flags that wiped out a touchdown and others that wiped out a potentially game-clinching interception. "I guess that's on us".
"He's wired with the right kind of stuff. He's got the right wiring, and he'll be alright".
Rodgers was heroic while playing with a huge brace to protect his injured left knee, which ESPN reported earlier Sunday could require up to two months to heal. He threw for 281 yards and a touchdown and was sacked four times.
Two Vikings penalties could result in National Football League fines.
"(Cousins) just keeps going", Diggs said. The 22-year-old Mahomes finished 23 of 28 for 326 yards in his third career start as the Chiefs (2-0) won in Pittsburgh for the first time since 1986.