The version of your work that you can make Open Access may depend on your publisher’s policy. Most Open Access repositories would prefer that you deposit the version that is closest to the final published one (i.e. after peer review), or the actual final published version, depending on permissions. The version of the paper that has been corrected following peer review is sometimes called the post-print, and the version before peer review is sometimes referred to as the pre-print.
Researchers funded by the RCUK or the Horizon 2020 programme should note that their respective funder's Open Access policy specifies the version after peer review, also known as the Accepted Manuscript, the Author’s Manuscript or the post-print, is the one to be deposited through the Green Open Access route.
Terminology around versions varies, and the Sherpa/RoMEO website provides the best description of the uses of the terms pre-print and post-print whilst also describing journal policies with their consistent terms, through their RoMEO tool.
Authors are also recommended to follow good practice around labelling versions of their own works and journal articles. The clear advice provided by LSE through their Versions toolkit is particularly useful.
The Middlesex University Research Repository also explains that staff will check versions deposited there in full text.