  Given a quasi-hereditary superalgebra $A$, the first author and R. Muth have
defined generalized Schur bi-superalgebras $T^A(n)$ and proved that these
algebras are again quasi-hereditary. In particular, $T^A(n)$ comes with a
family of standard modules. Developing the work of Donkin and Mathieu on good
filtrations, we prove that tensor product of standard modules over $T^A(n)$ has
a standard filtration.
