We investigate baryogenesis via leptogenesis in A4 flavor model within the paradigm of type-I and II seesaw mechanism resulting in magic neutrino mass matrix with broken µ − τ symmetry in a minimal scenario with two right-handed neutrinos(2RHN). Additional Z3 cyclic symmetry is employed to constrain the Yukawa structure of model. In general, the type-II seesaw terms play crucial role in generating non-degenerate neutrino masses and non-zero θ13, and contribute in baryogenesis. In particular, after the spontaneous symmetry breaking, the Yukawa coupling y∆ 1 at dimension-four is responsible for the breaking of µ − τ symmetry. We, also, study the implication of the model for successful leptogenesis using approximated solution of the Boltzmann equations. We find that the observed baryon asymmetry of the universe requires the lightest right-handed neutrino mass to be (2.36 − 2.40) × 10 9 GeV for NH ((2.15 − 2.17) × 10 9 GeV for IH) which is consistent with the Davidson-Ibarra bound of 10 9 GeV.