Centralization and standardization of biodiversity data increases accessibility and can lead to the development of checklists and other resources as powerful and important tools for taxonomy and conservation. The publication of new liverwort and hornwort names remains vastly scattered across dozens of journals. Thus we continue the longstanding index series of published names of liverworts and hornworts with 2021 and 2022. The list herein includes the following: six higher taxon names, 15 generic names, 81 infrageneric names, 187 specific names, 32 infraspecific names, three infrageneric autonyms and 13 infraspecific autonyms. Among them are 24 names of fossils as well as six illegitimate and 64 invalid names. Six older names omitted in the earlier indices are included.