  Given monoids $\mathfrak{b}$, $\mathfrak{b}'$ in a B\'{e}nabou cosmos, we
prove that the category of cocontinuous enriched functors between enriched
categories of right modules is equivalent to the category of
$(\mathfrak{b},\mathfrak{b}')$-bimodules. When the given monoids
$\mathfrak{b}$, $\mathfrak{b}'$ are commutative, we further show that the
category of cocontinuous lax tensor enriched functors between tensor enriched
categories of right modules is equivalent to the category of commutative
monoids over $\mathfrak{b}\otimes\mathfrak{b}'$.
