Under the dual carbon strategy, the integration of production and education needs to jointly model the resource allocation mode of education supply, enterprise demand and carbon constraint. In this paper, we propose a framework for resource allocation and collaborative effectiveness evaluation based on heterogeneous graph representation and temporal interaction analysis. Data from 312 enterprises, 27 institutions, 468 collaborative projects, and 5184 resource records are coded as a school-enterprise collaboration graph, where courses, lecturers, equipment, projects, and positions are treated as heterogeneous nodes. On this basis, a collaborative efficiency scoring model is constructed to evaluate the matching accuracy, response time delay, resource utilization, carbon compliance rate and comprehensive efficiency index. The experimental results on 1236 configuration instances show that the proposed method is superior to the comparison methods, the matching accuracy reaches 90.4%, the average response time is reduced to 14.3 minutes, the resource utilization rate is 88.2%, the carbon compliance rate is 91.8%, and the comprehensive efficiency index is 0.933. The results provide interpretable, data-informed, low-carbon decision support for cross-organizational resource coordination in vocational education and industry training Settings.