  In recent years, lepton flavour violating (LFV) decays are one of the most
trending topics to probe new physics (NP). The latest results of LHCb have
motivated us to study the LFV decays through b to s transition. The branching
ratios, forward backward asymmetries and longitudinal polarization fractions of
B(B_s) to K^* ({phi})l_1 l_2 decays are studied in non-universal Z^' model.
Here, we have structured the four-fold angular distribution of the decays in
terms of transversity amplitudes. The variation of the observables in whole
kinematic region shows the sensitivity of NP. The observables estimated in this
work are very intriguing and might lead a new track towards NP in near future.
