Background The short-term actions generated by the proposed SDGs by the United Nations promote sustainability and raise the probability of finding the best global crisis solution. This research builds on previous studies that demonstrate the interconnectedness and reciprocal support of Goals 3 and 12 in their pursuit of societal transformation by altering production and consumption patterns. Focus of the Article This study set out to fill a knowledge need by examining the current state of the literature on the topic of how SDGs interact with one another. The paper primarily addressed SDGs 3 and 12. Research Question (a) How could green behaviour promote sustainable health, and what is the present status of research in this field across nations, research communities, academic journals, and professional organizations? (b) How, with research topic as the key domain, can we make progress towards Sustainable Development Goals 3 and 12 through the social marketing?. Importance to the Social Marketing Field The purpose of this paper is to provide a plan for bringing about societal transformation by means of sustained, short-term efforts in the realms of production and consumption, undertaken with the backing of the nation’s stakeholders. Doing so makes long-term success in altering health-related behaviours (prevention, protection, and persistence in the face of health hazards) more likely. Despite their best efforts to enhance the well-being of societies through social transformation, the authors believe that social marketers may be steering communities in an unsustainable direction. Method Thus, a systematic review and bibliometric analysis were conducted to ascertain the breadth of the research underlying the title by analyzing 135 Scopus publications from 74 journals from 2011–2022 and graphically presented and tabulated the trends, important authors, nations, research papers, and keyword co-occurrences. Biblioshiny, a Bibliometrix R-tool used for the purpose of scientific mapping. In addition, the alignment of study of keywords by taking social marketing discipline into account was justified through systematic review. Results Research on the interplay between SDGs and other factors is required, as 27% of the data remains unexplained. Short-term sustainable behaviours that may enhance health outcomes are combined in this study to better inform policymakers and marketers about consumers’ long-term commitment to sustainable green consumption. Recommendations for Research According to the study’s results, government agencies should create social marketing initiatives to influence the public’s behaviour and promote the health and well-being benefits associated with sustainable production and consumption. Additionally, they should provide incentives to businesses to expand their range of sustainable commodities. Businesses have a shared responsibility to develop, communicate and supply customers with the advantages of sustainable offerings, and enhance the demand for these products through a green marketing approach while reducing their prices. The ecosystem as a whole will reap the benefits of everyone’s efforts, as well as the health and happiness that comes with it. Limitations From 2011 through 2022, the Scopus database’s articles and review papers were used in the study. Additional knowledge in this area might be gained from a comparison of databases like Web of Science, Dimensions, Google Scholar, etc. The study had no geographic focus. Therefore, future research should assess this field’s national and regional potential.