In this paper, the infinite-length metallic bar is folded to a continuous omega-shaped resonator and then arranged as a bi-layer metamaterial, which presents a hybrid resonance and a Fabry-Perot-like cavity mode. The asymmetric transmission (AT) for linearly polarized light is powerfully enhanced at a near-infrared regime by strongly coupling the hybrid resonance to the cavity, with the maximum value of the high-efficiency AT effect reaching 0.8 at around 1364 nm. At this near-infrared band, such a high-efficiency AT effect has never been realized previously by a bi-layer metamaterial. More importantly, we demonstrate that our design is robust to the misalignments, which greatly decreases the difficulties in sample fabrications. Accordingly, the proposed omega-shaped metamaterial provides potential applications in designing polarization filters, polarization switches, and other nano-devices.