Recently, the ISO guidance standard “Innovation management - Innovation management system” - ISO56002:2019 (ISO56002) has gained a lot of interest within the innovation management community. Recent research calls for an increased understanding of what innovation pedagogics are needed to support innovation management consultants and advisors (innovation advisors) in their work supporting its clients in the ISO56002 and the relevance of ISO56002’s content for small and medium-sized enterprises (SME). In this study, building on an existing tool for measuring innovation maturity, the Innovation Management Capability Assessment and Reflection tool (IMCAR) was developed to also include a reflective part of the ISO56002 content’s relevance for the responding organisation. Using the IMCAR tool, this study indicates that the ISO56002 is relevant for both SMEs and innovation advisors but also the need for further development of innovation pedagogics related to vocabulary, knowledge, facilitated reflections, and visualisation tools. Limitations and further research avenues are discussed.