RRI stands for "Responsible Research and Innovation".
RRI can be best understood as an approach which ensures that research and innovation activities are being carried out in a reflective and inclusive way.
The aim of RRI is to ensure that research and innovation are undertaken having the best interest of society in mind.
Learn more on the European Commission's website:
https://ec.europa.eu/programmes/horizon2020/en/h2020-section/responsible-research-innovation