More and more exo-stellar systems are being discovered step-by-step, including a type of system that is made up of two stellar, which is the binary stellar system, and the evolution of the binary stellar systems is also a field in the spotlight. Furthermore, there were gradually increasingly gravitational waves being detected in recent years, which led to more developed models of outer space objects. Following the topic of Binary Stellar Evolution Formation Channels, this article majorly discusses the models of binary stellar evolution formation channels as the results of the analysis of the data of gravitational wave detections. Accompanying, this study also included the analysis of gravitational wave detecting methods and results. Not surprisingly, there are still many remaining problems, thus the relevant currently remaining problems and the related future directions are also presented in the article. To sum up, this paper aims to give more specific explanations of the binary stellar evolution and sheds light on guiding further exploration for this topic.