Subject-specific education and quality management in higher education institutions are crucial to the cultivation of innovative talents. This paper constructs a GCEF talent cultivation model consisting of government, school, enterprise, and family to improve the quality of cultivation. It evaluates the teaching management system, promotes the construction and development of faculties, determines the weights with an index system and hierarchical analysis, and adds special quantitative items to make the evaluation more relevant. The study shows that the school plays the biggest role in talent cultivation, reaching 50%. The new model of teaching management in colleges and universities is able to develop sustainably and give full play to its service and professionalism.