In China's higher education sector, state-owned colleges and universities have a long history and strong basis. National growth and the next generation of educators are intertwined and cannot be separated. This study compares the impact of university management style and teaching facility environment under different environments, compares the quality of teaching management and coupling analysis under different algorithms, and analyses the effectiveness and benefits of using machine learning algorithm in the efficient management model of national higher education institutions. The findings are statistically significant. Through the investigation, Based on the degree of anthropomorphic simulation, it is discovered that the machine learning algorithm has a positive effect on data processing and auxiliary management mode, can effectively improve the level and quality of education management in colleges and universities, and can increase students' learning motivation and ideological value; conform to the development concept of social sustainable development; has research value and is significant for the future.