Nobody records the political affiliation of those who are vaccinated. Likewise, since which candidate(s) a person voted for are not recorded--ballots are effectively anonymous-- there's no direct way to correlate vaccinations with political affiliations.
There are, however, ways that can be inferred. One is to compare voting data to vaccination rates on a state or county level. Another is to examine the results of polls that asked about vaccine intentions and political affiliation.
One such poll by the Kaiser Foundation asked people if they planned to get vaccinated (this was in late June). Of those who said they would "wait and see," 45% identified as Republican, and 34% as Democrat. Of those who said they "definitely would not get the vaccine," 58% identified as Republican and 18% as Democrat.
As of the end of July, the combined vaccination rate in states that voted for Biden was 54%. The combined rate for Trump states was 41%
This suggests that all other things being equal, the ratio of vaccinated Democrats to vaccinated Republicans is about 11:8. Or to put it another way, out of every 100 vaccinated people, 54 are Democrats, 41 are Republicans, and 5 are not affiliated with either party.
The poll on vaccination intentions suggests that these proportions haven't significantly changed. Also, the recent Delta variant surges in red states suggest that vaccination rates there have remained low.