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The proposed work is an extension of the Standard Model, where we haveintroduced two gauge symmetries, i.e., $U(1)_{B-L}$ and $U(1)_{L_e-L_\mu}$ tostudy neutrino phenomenology, muon, and electron $(g-2)$ as well asleptogenesis using the inverse seesaw mechanism. For this purpose, we haveincluded three right-handed neutrinos $N_{R_i}$, three neutral fermions$S_{L_i} (i =1,2,3)$ and two scalar singlet bosons ($\chi_1$ and $\chi_2$). Weget a definite structure for the neutrino mass matrix due to the aforementionedgauge symmetries. Thus, our model is able to predict the neutrino oscillationresults, which are in accordance with the experimental data and is inclinedtowards normal ordering. The outcomes comprise the active neutrino masses,mixing angles, mass squared differences, CP-violating phase, etc. Moreover,since the extended gauge symmetries are local, there are corresponding gaugebosons, denoted as $Z_{B-L}$ and $Z_{e \mu}$. Of these, mass of $Z_{B-L}$ is$\mathcal{O}$(TeV) range to satisfy the collider constraint, while the mass of$Z_{e \mu}$ is in the MeV range, making it feasible to account for currentelectron and muon $(g-2)$ results via neutral current interactions.Furthermore, our model is able to account for leptogenesis, which candemonstrate the matter-antimatter asymmetry of the universe. Additionally, wehave carried out the prospect of probing our model in the context of upcominglong baseline experiments: DUNE, T2HK, and T2HKK, at a confidence level of$5\sigma$. From the result it is clear that, our model can be tested in its$3\sigma$ C.L. with $5\sigma$ allowed region of DUNE, T2HK and T2HKK.

Unveiling neutrino phenomenology, $(g-2)_{e,\mu}$ and leptogenesis through U(1) gauge symmetries in an inverse seesaw model