The article aims to study the structure of and improve the model for the fostering of managerial competencies to solve the problems of a technological breakthrough in the domestic economy. The authors apply their proprietary approach that makes it possible to reveal the range of interdisciplinarity and to specify its content. Methods and tools for mastering the competencies in demand are developed. As the empirical base which proves the validity of their conclusions, the authors cite their own research as well as the results of the analysis of educational programs in engineering management implemented at the leading universities of the world, and the expert opinions of the heads of energy enterprises and professors of Russian universities. The paper analyzes the key factors in the formation of interdisciplinary competencies: a management paradigm towards which the educational process is oriented, a model of knowledge and skills that is adequate to the content of the tasks of a technological breakthrough, a methodology for analyzing interdisciplinary relationships in managerial decisions. The article outlines the relevant experience of training managers of various levels by the Department of Energy Management Systems and Industrial Enterprises of Ural Federal University. The study is scientifically novel as it discovers a new approach to understanding interdisciplinarity when determining the managerial competencies necessary for a technological breakthrough. The practical significance of the article is due to the fact that it presents the experience of implementing the developed approach to the training of managers with an increased readiness to constantly embrace and implement future technologies.