The purpose of the study is to offer recommendations for the sustainable growth of food industry enterprises by employing mathematical modeling, aiming to achieve a beneficial social impact during the technological innovations’ era. The article is dedicated to investigating the process of food security at enterprises using digital solutions, taking into account the social tasks. The practical aspect of dairy industry development and the innovative direction of food safety management in several countries worldwide are identified. The scientific novelty of the obtained results lies in the following aspects: further development of the categorical framework of food security of enterprises, considering the fluidity of time, exogenous and endogenous influencing factors, application of legal and financial prevention measures, consideration of social influencing factors and digital innovations, as well as the integration of logistics, environmental marketing, and digital marketing in the food industry. The paper’s practical significance is the forecast of the development of food security for enterprises, enabling timely measures to improve the food industry performance while considering digital innovations and socio-economic needs. Innovative research on food security opens up opportunities for knowledge and experience exchange among different socio-cultural groups, fostering the strengthening of social capital and the building of long-term interactions that promote tolerance and mutual understanding that addresses the needs of modern society.