The Twins acquired Richards on Tuesday in exchange for infielder Jay Harry, Ken Rosenthal of The Athletic reports.
Richards will provide the Twins with a right-handed option out of the bullpen who's capable of covering multiple innings. The 31-year-old covered 52.1 frames over his 45 appearances with the Blue Jays this season, logging a 4.64 ERA with seven holds and a 49:24 K:BB.