In the network environment, two-course educators must enhance the awareness of the times, take the initiative to occupy the network position, and carry out two-course education for college students in the new position. At present, the educational needs of colleges and universities are integrated with information technology. In order to promote the establishment of the “Two Courses” education and teaching evaluation system in colleges and universities, this paper adopts some college evaluation theories to analyze the ideological education evaluation in colleges and universities. It constructs a model to promote the development of teaching evaluation in colleges and universities. At the same time, the evaluation of college teaching under the background of Internet is analyzed by neural algorithm. Through the optimization of the existing evaluation system, the optimization of the corresponding work is completed. This article has carried on the simulation verification; through the time characteristic analysis of the verification system, it provides the reference value for the establishment of the evaluation system of two-course education.