The Brewers optioned Cousins to Triple-A Nashville on Thursday.
As the signing of Julio Teheran became official Thursday, Cousins will serve as the Brewers' roster casualty. The 28-year-old reliever has done a good job at limiting runs but struggles to keep runners off base -- especially via walks. He will likely continue to bounce back and forth between Milwaukee and Nashville as the Brewers' pitching depth is tested throughout the season.