Bauer (100) only ranked second to DeGrom (104) in strikeouts and strikeouts per nine innings (12.3) as the Reds reached the NL Wild Card Series in 2020. They bonded as teammates with the Cleveland Indians, and stayed in touch after Bauer was traded to the Cincinnati Reds past year.
The award, given to the best pitcher in the American League and the National League, as voted on by members of the Baseball Writers' Association of America, is the first of Bieber's career.
"It was refreshing to hear him speak that way about me, " Bauer said.
Bauer rejected the Reds' $18.9 million qualifying offer and said he's spoken to some teams since he hit free agency, the first pitcher to win the Cy Young then hit free agency since Roger Clemens in 2004.
The 25-year-old - who reached 100 strikeouts in the fewest number of innings (66.3) in Major League Baseball history - is the youngest Indians pitcher to clinch the award in franchise history.
He went 5-4 with a NL-best 1.73 ERA in 11 beginnings, helping the Reds arrive at the playoffs for the first time since 2013.
Former Cleveland Indians starting pitcher Trevor Bauer was traded to cross-state rivals Cincinnati Reds midway through last season while the veteran right-hander will now become a free agent this offseason.
Minnesota Twins right-hander Kenta Maeda was second in AL voting, followed by Toronto Blue Jays left-hander Hyun Jin Ryu.
As most of you probably feared heading into the announcement, Trevor Bauer has been named the NL Cy Young victor ahead of Yu Darvish.
Trevor Bauer, who was traded to the Cincinnati Reds in 2019, earned the National League Cy Young Award, edging out Chicago Cubs ace Yu Darvish and two-time victor Jacob deGrom of the New York Mets. Cliff Lee won in 2008, and Corey Kluber took the prize in 2014 and 2017. But with the Reds in a pennant push, Bauer delivered his finest start of the year, striking out 12 Brewers over eight innings of one-run ball. He got back to frame when this season began in July. Bauer was also the only pitcher in the majors to record multiple shutouts this season, although both came in seven-inning doubleheaders.