In this paper, a novel integrated guidance and control algorithm based on adaptive high-order sliding mode is proposed for reusable launch vehicle (RLV) subject to unknown disturbances and actuator faults. We propose a time-varying barrier function-based adaptive control law to offset the effects of uncertainties. The remarkable feature of the developed algorithm is its ability to track the reference commands in finite time despite unknown disturbances and actuator faults, without designing the guidance law and attitude controller separately. Finally, the effectiveness of the proposed algorithm is confirmed by the simulation results.