  We investigate the effects of flavor dependence on the rare weak decays of $
B_c^{*} $ and $B_s^{*}$ mesons to psuedoscalar and vector mesons in the final
state. We use the Bauer-Stech-Wirbel model framework to calculate the flavor
dependent effects of transverse quark momentum on the form factors and
consequently, the branching ratios of Cabibbo-Kobayashi-Maskawa favored and
suppressed modes by employing the factorization hypothesis. We find that the
flavor dependent effects significantly enhance the form factors and,
consequently, the branching ratios. Some of the decay channels in $ B_c^{*} $
and $B_s^{*}$ have branching ratios $\mathcal{O}(10^{-5})$ to
$\mathcal{O}(10^{-7})$, which are well within the reach of current experiments.
