  The dominant contribution to the inclusive decays of $B$ mesons into the
charm-strangeness mesons $D_s$ and $D_s^{\ast}$ is expected to be given by the
partonic process $b \to c+(D_s^-,D_s^{\ast -})$. We determine the
nonperturbative $O(1/m_b^2)$ and the $O(\alpha_s)$ radiative corrections to $b
\to c+(D_s^-,D_s^{\ast -})$ and thereby to the inclusive decays $ \bar{B} \to
X_c+(D_s^-,D_s^{\ast -})$. The new feature of our calculation is that we
separately determine the nonperturbative and the $O(\alpha_s)$ corrections to
the longitudinal ($L$) and transverse ($T$) pieces of the spin 1 $D_s^{\ast -}$
meson. The longitudinal/transverse composition of the $D_s^{\ast -}$ can be
probed through its two principal decay modes $D_s^{\ast -} \to D_s^- + \gamma$
and $D_s^{\ast -} \to D_s^- + \pi^0$ for which we write down the angular decay
distributions.
