The subject of the study is the accelerated technical and economic development of Russia in order to achieve national goals, which requires the creation of a special mechanism for the formation and implementation of investment projects within the framework of public administration. Simultaneously with technical, technological and economic development, the requirements of the green economy must be fulfilled, which are specified using ESG criteria. The aim of the work is to improve the rating of companies through effective investments while simultaneously implementing projects aimed at technical infrastructure renovation. The result of the work was the creation of an economic and mathematical model that allows you to choose projects aimed at increasing the ESG rating of companies and implementing technical updates, including import substitution with domestic analogues or the implementation of technical and technological innovations. Based on an overview of a wide range of methods and algorithms for finding solutions to an optimal set of projects within the framework of a mathematical programming model with Boolean variables, it is proposed to use a modification of the Faure and Malgrange method, the algorithm of which is given in the text of the article. The conclusions are drawn that the generated model and the given algorithm are a flexible tool that allows you to obtain a set of projects that require minimal investment within the limits of restrictions on the indicators of technical renewal of the company and the values of ESG criteria for different companies and using a different number of criteria.