The double pressure angle asymmetric gear is a type of involute gear characterized by different pressure angles on either side of the tooth surface. Its unique tooth profile design significantly impacts gear strength, transmission efficiency, and dynamic behavior. Unlike conventional symmetric gears, asymmetric gears enhance the load-bearing capacity at the tooth root and reduce transmission errors, making them particularly well-suited for applications involving complex dynamic loads and specialized transmission requirements. Based on gear meshing principles, this study investigates the precise design methodology for the tooth profile of double pressure angle asymmetric gears and their manufacturing using worm grinding wheels. The tooth profile equation for the asymmetric gear is derived, and the meshing relationship between the rack cutter and the gear is analyzed in detail, leading to the establishment of an accurate geometric model of the gear. In terms of worm grinding wheel tooth machining process, the study explores the profile design of the worm wheel, its truing method, and its application to asymmetric gear processing. VERICUT simulation experiments demonstrate that the gear profile obtained through asymmetric worm wheel grinding closely aligns with the theoretical design, confirming the feasibility of this approach. The findings provide a theoretical foundation for the design and manufacturing of asymmetric gears, and offer valuable insights for improving the efficiency and reliability of gear transmission systems.