  We show that the bicategory of finite groupoids and right-free permutation
bimodules is a quotient of the bicategory of Mackey 2-motives introduced in
arXiv:1808.04902, obtained by modding out the so-called cohomological
relations. This categorifies Yoshida's Theorem for ordinary cohomological
Mackey functors, and provides a direct connection between Mackey 2-motives and
the usual blocks of representation theory.
