This study addresses the trajectory tracking problem for vertical landing of reusable launch vehicles. To overcome the computational complexity of real-time optimization methods and the instability of time-based reference tracking, an Augmented Pursuit Guidance (APG)-based guidance and control method is proposed. It improves trajectory through a modified APG, and removes residual errors by applying a velocity controller and a longitudinal PD controller in the low-altitude phase. For validation, an optimal trajectory is precomputed, and the proposed method is then applied to track it in simulations. The results confirm that the proposed method achieves stable and fuel-efficient landings under both nominal and disturbed conditions. In conclusion, this work shows that sufficient trajectory tracking performance and landing accuracy can be achieved with a simple algorithm.