  For a $C^{*}$-category with a strict $G$-action we construct examples of
equivariant coarse homology theories. To this end we first introduce versions
of Roe categories of objects in $C^{*}$-categories which are controlled over
bornological coarse spaces, and then apply a homological functor. These
equivariant coarse homology theories are then employed to verify that certain
functors on the orbit category are CP-functors. This fact has consequences for
the injectivity of assembly maps.
