  Lepton flavour violation (LFV) is one of the most trending topics to probe
new physics (NP). The powerful accelerators have enhanced their intensities to
observe the LFV decays very precisely. In this situation, the theorists are
also interested to study these decays in various NP models and in model
independent way to get precise results. Motivated by these results we have
studied B decays into K2^star(1430)l1 l2 in non-universal Z^' model. Here, we
have structured the two-fold angular distribution of the decays in terms of
transversity amplitudes and the transversity amplitudes are formed with NP
Wilson coefficients. The variation of the branching ratios and forward backward
asymmetries show the sensitivity of NP. The observables calculated in this work
are very interesting and might provide a new way towards NP.
