Since the turn of the 21st century, China's e-commerce has exhibited a rapid development trend of diversification and internationalization. The number of users on e-commerce platforms has increased significantly, the network infrastructure has continued to improve, the number of cross-border e-commerce transactions has risen steadily, and the two-sided matching problem inherent to it has become a topic of increasing interest. Each agent in the e-commerce market may have several attributes, and e-commerce market matches are sophisticated and multi-variant. Thus, the development of a suitable matching mechanism is crucial for the market's effective operation. This paper explores the prior literature on two-sided matching theory and its application in the e-commerce sector, combs its research progress, summarizes the advantages and disadvantages of present matching approaches, and anticipates the growth of application domains in the future.