We numerically and experimentally demonstrate engineered electromagnetic responses from a single-peak Fano resonance to a fast roll-off behavior by using planar metamaterials, which are constructed by bilayered asymmetrically split rings (ASRs) with twist angles of 0° and 180°. Since each single-layer ASR metamaterial reveals a Fano-type resonance, the dramatic transmission properties are resulted from the hybridization of electromagnetic resonances due to the near-field coupling between two Fano resonances and the far-field retardation effect of the bilayered metamaterials. The surface currents and charges distributions provide an insight into deep understanding of in-phase and out-of-phase coupling of two Fano resonances. The measured and simulated results of bilayered metamaterials agree well to each other. Especially, the proposed metamaterials can be exploited to design metamaterial-based devices in the THz and optical ranges like filters and sensors.