The presented manuscript is an extension of standard model, where, we have introduced two anomaly free gauge symmetries i.e. U(1)Le-Lτ and U(1)B-L in an inverse seesaw framework. Therefore, we have included three right handed neutrinos NR, three neutral fermions SL and two scalar singlet bosons (Χ1 , Χ2). We are able to get a definite structure for neutrino mass matrix due to the incorporated gauge symmetries. Therefore, our model is able to predict the neutrino oscillation results which are in accordance with the experimental data and mostly supports normal ordering. The outcome comprises of active neutrino mass, mixing angles, mass square differences, CP phase etc. We also discuss neutrinoless double beta decay effective mass parameter <mee> which gives a strong evidence on the Majorana nature of neutrinos. Its value is well below the current experiment bounds of KamLAND-Zen, CUORE etc. Furthermore, as extended symmetries are local, hence, are associated with one Z boson each i.e. (Z1 , Z2 ) which makes our model feasible to explain current results of electron and muon g-2 through neutral current interactions.