Teachers' management effectiveness can reflect the comprehensive ability and effective evaluation of the teaching management objectives of the school and can also reflect the effectiveness management of the school to a certain extent. In the environment of sustainable and innovative development, the rapid development of education has made improving the management efficiency and motivation of university teachers became the key direction of university management. In order to study the impact of teachers' management efficacy and motivation on college students' academic achievement and postemployment social responsibility cognition under sustainable innovation, this study compares the impact of teachers in different periods on students and analyzes the changes of teachers in different periods on students. Finally, it is concluded that teachers' management efficiency and motivation under sustainable innovation can promote students' employment achievement and social responsibility cognition, improve the teaching quality of colleges and universities, and provide high-quality talents for the country. The educational concept of sustainable innovation is conducive to improving teachers' independent innovation and realizing the educational function of cultivating students' personalized development in colleges and universities.