  We study the prediction of maximal zeros of the Dirac mass matrix on neutrino
phenomenology and baryon asymmetry of the universe (BAU) within the framework
of an inverse seesaw ISS $(2,3)$. We try to find the origin of the allowed two
zero textures of the Dirac mass matrix from $S_{4}$ flavor symmetry. ISS
$(2,3)$ model contains two pairs of quasi-Dirac particles and one sterile state
in the keV scale along with three active neutrinos. The decays of the
quasi-Dirac pairs create lepton asymmetry that can be converted to baryon
asymmetry of the universe by the sphaleron process. Thus, BAU can be explained
in this framework through leptogenesis. We study BAU in all the two zero
textures of the Dirac mass matrix. The viabilities of the textures within the
framework have been verified with the latest cosmology data on BAU.
