Today, the global warming is the most threatening disaster to human life and environmental resources. And therefore automatically the green computing becomes more important research field where the computer world can minimize their warming score. Largely using of recycling devices and biological components instead of expiring electronic goods in computing, generally roots to green computing world. The term Green Computing refers as environmentally sustainable computing or Green IT. The most important aspects of Green Computing Technology, has to improve the energy efficiency, reduce the resource consumption, disposing of e-waste, and upgrade the computer components regularly. To increase the awareness of Green Computing Technology will be more achievable among the students and faculty members who are all from the computer science stream. This paper presents the effective classroom teaching methodology on Green Computing, and future evolution of Cloud technology.