Decoding the exact Lorentz structure of possible new physics in various $B$ decays involving $b\to\, c\, l\,\nu$ charged current and $b\, \to\, s\, l\,l$ neutral current transition is very crucial.
There still exists a long standing discrepancy in the combined measurements of the ratio of branching ratio
$R_{D^{(*)}}$ in $B \,\to\, D^{(*)}\, l\,\nu$ decays which stands $3\sigma$ away from the standard model expectations.
In addition, the lepton polarization fraction and longitudinal polarization fraction of $D^*$ meson
in $B \,\to\, D^{*}\, \tau\,\nu$ decays also witness considerable deviations from SM expectations.
In this context, we perform a detailed angular analysis of $B_s \,\to\, D_s^{*}\,(\to\,D_s\,\gamma,\, D_s\,\pi)\, l\,\nu$ decays in a model independent effective field theory formalism.
Under the SU(3) favor symmetry both $B \,\to\, D^{*}$ and $B_s \,\to\, D_s^{*}$ decays exhibit
similar properties and hence this decay channel can, in principle provide complementary
information regarding the anomalies present in $B \,\to\, D^{*}\, l\,\nu$ decays.
We give predictions of various physical observables in standard model and in the presence of various new physics couplings.