He has previously played in Major League Baseball (MLB) for the Boston Red Sox and the Kansas City Royals.

[3] In 2016, Taylor pitched at both the Class A-Advanced and Double-A levels, appearing in a total of 26 games (24 starts) while compiling a 5–11 record with 5.36 ERA.

[13] Overall with the 2020 Red Sox, Taylor appeared in eight games, all in relief, compiling a 1–1 record with 9.82 ERA and 7 strikeouts in 7+1⁄3 innings pitched.

[15] On September 11, Taylor recorded his first MLB save, closing out an extra innings win over the Chicago White Sox.

[17] Overall during the regular season, Taylor made 61 relief appearances for Boston, earning one win while logging a 3.40 ERA and striking out 60 batters in 47+2⁄3 innings.

[10] He then made six postseason appearances, allowing a single run in four innings, as the Red Sox advanced to the American League Championship Series.

[18] On January 24, 2023, the Red Sox traded Taylor to the Kansas City Royals for Adalberto Mondesí and Angel Pierre.