The 27-year-old Cousins spent parts of three seasons with the Marlins, posting a .183 average with two home runs and nine RBI in 175 at-bats. The Reno, Nevada native played the majority of last season with New Orleans of the Pacific Coast League (AAA), recording a .296 average with 22 extra base hits and 14 stolen bases in 61 games.
Wade, 29, posted a 1-1 record with a 6.46 ERA in 39 relief appearances for New York this past season. The Indianapolis, Indiana native posted a career low 2.04 ERA for the Yankees in 2011 and owns an 11-6 record with a 3.65 ERA over four Major League seasons.
The Blue Jays now have 39 players on the 40-man roster.