We report on theoretical studies of recently discovered microwave-induced resistance oscillations and zeroresistance states in Hall bars with two occupied subbands. In the same results, resistance presents a peculiar shape which appears to have a built-in interference effect not observed before. We apply the microwave-driven electron orbit model, which implies a radiation-driven oscillation of the two-dimensional electron system. Thus, we calculate different intra-and intersubband electron scattering rates and times that are revealing as different microwave-driven oscillation frequencies for the two electronic subbands. Through scattering, these subband-dependent oscillation motions interfere give rise to a striking resistance profile. We also study the dependence of irradiated magnetoresistance with power and temperature. Calculated results are in good agreement with experiments.