  The detection of radially excited heavy meson \\states in recent years and
measurement of heavy meson decays, particularly $B_c^+\to J/\psi D_s^+$ and
$B_c^+\to J/\psi D_s^{*+}$, by the LHCb and ATLAS Collaborations, have aroused
a lot of theoretical interest in the nonleptonic decays of $b$-flavored mesons.
In this paper, we study the exclusive two-body nonleptonic $\bar{B}^0$,
$\bar{B_s^0}$, $B^-$ and $B_c^-$-meson decays to two vector meson
($V_1(nS)V_2$) states. Assuming the factorization hypothesis, we calculate the
weak-decay form factors from the overlapping integrals of meson wave functions,
in the framework of the relativistic independent quark (RIQ) model. We find a
few dominant decay modes: $B^-\to D^{*0}\rho^-$, $\bar{B^0}\to D^{*+}\rho^-$,
$\bar{B_s^0}\to D_s^{*+}\rho^-$, $B^-\to J/\psi K^{*-}$ and $B_c^-\to J/\psi
D_s^{*-}$ with predicted branching fractions of 1.54, 1.42, 1.17, 0.53 and 0.52
(in $\%$), which are experimentally accessible. The predicted branching
fractions for corresponding decay modes to excited ($2S$) states, obtained in
the order ${\cal O }(10^{-3}-10^{-4})$ lie within the detection accuracy of the
current experiments at LHCb and Tevatron. The sizeable $CP$-odd fractions
predicted for $B_c^-$-meson decay to two charmful states: $D^{*0}D^{*-}_{(s)}$
and $\bar{D}^{*0}D^{*-}_{(s)}$ indicate significant $CP$-violation hinting at
the so-called new physics beyond the standard model.
