Due to its efficiency and versatility, claw-type rotors have received significant attention in various engineering applications. The design process of these wheels often involves complex geometry and complex configurations, which makes optimizing performance difficult. In recent years, reverse methods have emerged as promising approaches to dealing with the complexity of design associated with claw rotors. This paper comprehensively reviews the reverse method used to design claw-type rotors. We discuss the use, benefits, and limitations of various reverse design techniques. In addition, we highlight recent advances and future research directions in this field. This study examines the current state of the art of inverse methods for rotor design for claw-type rotors to provide valuable insights for researchers and engineers involved in rotor design and optimization.