  We introduce the notion of mixed trTLEP-structures and prove that a mixed
trTLEP-structure with some conditions naturally induces a mixed Frobenius
manifold. This is a generalization of the reconstruction theorem of Hertling
and Manin. As a special case, we also show that a graded polarizable variation
of mixed Hodge structure with $H^2$-generation condition gives rise to a family
of mixed Frobenius manifolds. It implies that there exist mixed Frobenius
manifolds associated to local B-models.
