Fatyanovo males were rich in Y-haplogroup R1a-Z93, which is found at very low frequencies in Balto-Slavic populations (see here). It's actually much more common nowadays in Central and South Asia, where it often reaches frequencies of over 50% in Indo-Iranian speaking groups.Balts and Slavs are rich in R1a-Z282, which is a sister clade of R1a-Z93, and has been found in Corded Ware and Corded Ware related samples from west of Fatyanovo sites. That is, in present-day Poland and the Baltic states.Therefore, the origins of the Balto-Slavs should be sought somewhere west of the Fatyanovo culture, probably in the Corded Ware derived populations from what is now the border zone between Poland, Belarus and Ukraine.Indeed, in my view the Fatyanovo people are more likely to have spoken Proto-Indo-Iranian rather than anything ancestral to Baltic or Slavic (see here).
The Fatyanovo culture is geographically adjacent to the Andronovo culture (ca. 2000 BCE to 900 BCE) which is widely believed to have been Indo-Iranian linguistically. There has also been a notable new discovery about the Andronovo culture.
Baigetuobie cemetery is located to the east of the region (yellow triangle "a" above). Archaeologists have unearthed 32 burials belonging to the Andronovo culture. The radiocarbon dating of some samples shows that this cemetery is dated between 1782 BCE and 1439 BCE.Jiangsong Zhu and his colleagues have just published a paper entitled: The Baigetuobie cemetery: New discovery and human genetic features of Andronovo community's diffusion to the Eastern Tianshan Mountains (1800–1500 BC).
The paper that Davidski is discussing (and differing with in the post linked above) is: