  Motivated by the recent measurement of the lepton flavour nonuniversality
ratio $R_{K^*}$ by the LHCb Collaboration, we study the implications of vector
leptoquarks on the observed anomalies associated with the $\bar B \to \bar K^*
l^+ l^-$ decay processes. The leptoquark couplings are constrained from the
measured branching ratios of $B_s \to l^+ l^-$, $K_L \to l^+ l^-$ and $B_s \to
\mu^\mp e^\pm$ processes. Using these constrained couplings, we estimate the
branching ratios, forward-backward and lepton polarization asymmetries and also
the form factor independent optimized observables ($P_{i}^{(\prime)}$) for
$\bar B \to \bar K^* l^+ l^-$ modes in the high recoil limit. We also study the
other lepton flavour universality violating observables, such as $Q_{F_{L,
T}}$, $Q_{i}$ and $B_{5, 6s}$, where $i=1,2,\cdots6, 8$. Furthermore, we
investigate the lepton flavour violating $K_L \to \mu^\mp e^\pm$ decay process
in this model.
