Despite the potential benefits of anaerobic digestion in the context of climate change and the need for an energy transition, there is significant resistance to biogas projects. This paper aims to (i) identify and analyze the factors affecting social acceptability, and (ii) characterize the demand for territorial compensation from local stakeholders in relation to the perceived impacts of biogas plants. To achieve this, the paper focuses on two case studies in France, specifically in the Hauts-de-France region. A qualitative approach was employed, through interviews with the biogas plant operator, local residents, and the mayor of the municipality hosting the project for each case study. Through a content analysis of the responses, our results show that the local community demonstrates a high level of awareness of the Agri-Aisnergie agricultural biogas plant, with only minor concerns about odors, traffic, and competition with food production. However, there is no opposition, mainly due to the operator's close ties with the community and the plant's discreet location. In contrast, the Bionerval industrial biogas plant faces skepticism and doubts, primarily due to a lack of responsiveness from the project owners, which raises concerns regarding compliance and environmental impacts. Territorial compensation could help address local opposition, but only after providing clear, detailed information that enables residents to make informed decisions. This article proposes insights for improving the social acceptability of biogas projects by considering local specificities and promoting comprehensive consultations with communities.