  We explain how to couple topological B-models whose targets are
non-K\"ahlerian manifolds to topological gravity and to thus define
corresponding topological strings. We emphasize the need to take into account
the coupling to the superghost field of topological gravity in order to obtain
a consistent definition of the string model. We also review the importance of
the superghost for correctly interpreting the holomorphic anomaly of the string
amplitudes. We perform our analysis in the BV framework in order to make it
completely gauge independent.
