This paper introduces a Backstepping Sliding Mode Control (Backstepping-SMC) approach specifically designed for the autonomous carrier landing of small aspect ratio flying-wing Unmanned Aerial Vehicle (UAV), addressing the inherent aerodynamic complexities and control challenges of flying-wing aircraft. The proposed multi-layered control method seamlessly integrates position, attitude, and angular rate controls, tailored to manage the dynamic disturbances and intricate flight dynamics unique to flying-wing UAVs. The effectiveness of this Backstepping-SMC strategy is validated through detailed simulation results, which demonstrate its capability to maintain precise control and robustness against environmental disturbances. The research highlights the potential of this advanced control system to enhance the operational stability and safety of UAVs in complex carrier landing scenarios.