In our current day and age, Earth suffers under the human ecological footprint, which influences our health and well-being. Technological solutions, including software-related ones, may help tackle these concerns for humanity. However, the development of such solutions requires special attention and effort to overcome human, public, and social barriers that might prevent them from being effective. The Requirements Engineering for Well-Being, Aging, and Health (REWBAH) workshop gathering in 2021 focused on addressing the challenge of how Requirements Engineering (RE) knowledge and practices can be applied to the development of information systems that support and promote long-lasting, sustained, and healthier behavior and choices by individuals. An interactive discussion among subject matter experts and practitioners participating in the REWBAH¿21 revolved around several questions. In a subsequent qualitative analysis, the emerging themes were arranged in the sustainable-health RE (SusHeRE) framework to describe RE processes that address both sustainability and health goals. In this vision paper, we present our framework, which includes four main SusHeRE goals defined according to the changes in RE that we deem necessary for achieving a positive contribution of RE on sustainability and health. These goals involve improved RE Techniques, Multidisciplinary Expertise, Education Agenda, and Public and Social Ecology.