Rogers played college baseball at the University of Kentucky, and was selected by the Twins in the 11th round of the 2012 MLB draft.

[7] After his junior season at Kentucky, the Minnesota Twins selected Rogers in the 11th round of the 2012 MLB draft.

After his promotion, he spent the rest of the season with Minnesota, going 3–1 with a 3.96 ERA in 57 relief appearances covering 61.1 innings in which he struck out 64 batters.

[19] In the 2018 season, Rogers appeared in 72 games (9th in the AL) for Minnesota, pitching to a 1–2 record with two saves in 68+1⁄3 innings in which he struck out 75 batters, and had a WHIP of 0.951.

[18] On April 7, 2022, the Twins traded Rogers, Brent Rooker, and cash considerations to the San Diego Padres in exchange for Chris Paddack, Emilio Pagán, and a player to be named later.

[25] On August 1, 2022, the Padres traded Rogers, Dinelson Lamet, Esteury Ruiz, and Robert Gasser to the Milwaukee Brewers for Josh Hader.

[27] On December 28, 2022, Rogers signed a three-year, $33 million contract with the San Francisco Giants, before his brother, Tyler, re-signed with the team.

[29] Rogers made 64 relief appearances for the Giants during the 2024 season, accumulating a 1-4 record and 2.40 ERA with 64 strikeouts across 60 innings pitched.

[30] On January 29, 2025, the Giants traded Rogers to the Cincinnati Reds in exchange for Braxton Roxby and cash.

[31] Rogers' identical mirror image twin brother, Tyler, who is younger by 30 seconds, is a pitcher for the San Francisco Giants.