Publication of the final text and adoption by the European Commission are expected at the earliest in October 2021.

See the European Commission website here – https://ec.europa.eu/info/law/better-regulation/have-your-say/initiatives/12732-Banking-Union-review-of-bank-crisis-management-&-deposit-insurance-framework-BRRD-review-_en

See also a European Parliament Briefing which includes a number of useful links – https://www.europarl.europa.eu/RegData/etudes/BRIE/2021/659620/IPOL_BRI(2021)659620_EN.pdf