Green innovation is an important way to ease the current pressure on resources and the environment and achieve high-quality development of the Chinese industry. In recent years, China′s industrial enterprises have continued to increase R&D investment, but the technological, economic, and environmental benefits have not improved significantly. It is necessary to improve the green innovation efficiency of enterprises and realize the transformation of industrial enterprises into a green development mode. Due to differences in resource endowments, economic development, investment in innovative resources, and market environment in different regions of China, it means that the production technology sets available for green innovation are different. Scientifically measuring the green innovation efficiency and technology gap of industrial enterprises in different regions, and clarifying the source of efficiency loss, is conducive to the formulation of differentiated green innovation policies in different regions of China, so as to improve the enterprise′s green innovation ability.

     Based on the characteristics of regional technology heterogeneity and green innovation input sharing, this paper builds a meta-frontier-shared input related two-stage DEA model to measure the green R&D efficiency, achievement conversion efficiency and overall efficiency of Chinese provincial industrial enterprises from 2008 to 2017.Under the meta-frontier framework, the "technical gap ratio" index is used to measure and analyze the green innovation technology gap and its changing trends among enterprises in eastern, central and western regions of China. Kruskal-Wallis was conducted on the difference between the two-stage TGR values of the three major regional enterprises test. From the perspective of the ineffectiveness of regional technology gaps and ineffectiveness of business management, the two-stage green innovation inefficiency value is decomposed to dig out the true root cause of efficiency losses, and locate the key links and key strategies for improving the efficiency of enterprises in various regions. The results show that: 

     (1) The average efficiency of green innovation of Chinese industrial enterprises under the meta-frontier is 0.647, and the average efficiency of green R&D and achievement transformation is 0.774 and 0.831 respectively. The efficiency under the meta-frontier does not exceed the corresponding efficiency under the group frontier. The green R&D efficiency of industrial enterprises in the eastern, central and western regions of the meta-frontier is 0.804, 0.669 and 0.834 respectively. The efficiency of enterprises in the eastern and western regions is relatively high, while the efficiency in the central region is significantly lower. In the stage of green achievement transformation, the efficiency of enterprises in eastern, central and western regions was 0.948, 0.784 and 0.763 in order. During the period of investigation, the efficiency of the two stages of green innovation in the country and the three major regions has not improved significantly, showing a slight downward trend. 
     (2) The Kruskal-Wallis test showed that the difference in the technology gap between green R&D and achievement transformation among the three major regions was significant. In the green technology R&D stage, the average TGR of the eastern, central, and western enterprises were 0.979, 0.790, and 0.919, respectively. The average TGR of enterprises in eastern, central and western regions were 0.989, 0.877 and 0.847 respectively. In the green R&D stage, the technology gap between the enterprises in the east and middle regions hovered around 0.2, while the technology gap between the enterprises in the east and west regions in the achievement transformation stage was the most obvious, and it showed a trend of continuous expansion.
     (3) There are obvious differences in the root causes of green innovation efficiency losses of enterprises in different regions. Inefficiency decomposition finds that the two-stage efficiency losses of green innovation of enterprises in the eastern region are mainly due to the improper management of the enterprises in the region. Enterprises in the region need to focus on employee innovation mission, responsibility training and corporate culture construction to improve the level of corporate green innovation management. While the enterprises in the central and western regions are due to ineffective technology gaps and ineffective management. They all cause efficiency losses, and the efficiency losses caused by backward regional technology account for more than 50%. Enterprises in the region need to have both internal and external training, focusing on improving the regional technical level and optimizing the innovation environment.