This may help
Y-chromosome phylogeographic analysis of the Greek-Cypriot population reveals elements consistent with Neolithic and Bronze Age settlements
https://investigativegenetics.biomedcentral.com/articles/10.1186/s13323-016-0032-8Y-chromosomal analysis of Greek Cypriots reveals a primarily common pre-Ottoman paternal ancestry with Turkish Cypriots
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0179474Turkish Cypriot paternal lineages bear an autochthonous character and closest resemblance to those from neighbouring Near Eastern populations
https://www.tandfonline.com/doi/full/10.1080/03014460.2016.1207805?scroll=top&needAccess=truealso try to find
"Population genetic data for 15 autosomal STR markers in Turkish Cypriots from Cyprus"
in Forensic Science International: Genetics 14 (2014) e1–e3
In essence the genetics tends to suggest Greek Speaking Cypriots and Turkish Speaking Cypriots are likely mostly descended from a common pool of ancestors who were likely a part of the earliest wave of continuous settlement, but with minor influences in varying degrees from later invaders / conquerors