To be historically accurate, that would be the Hellenistic Jews in the diaspora, which were the huge majority of Jews, who lived in the Mediterranean areas of the Roman Empire outside of Jerusalem. This would be the LXX version. However, the findings in the Dead Sea Scrolls at Qumran also indicate that several of the Deuterocanonicals were found in Hebrew translations that are in-line with the Greek LXX translations, which shows that a segment of Hebrew Speaking Jews near Jerusalem also had those books.
In addition, Christ himself celebrated the Festival of Lights personally as recorded in Saint John’s Gospel Chapter 10:22-23 and of course the Festival of Lights or Hanukkah is recorded in 2 Deuterocanonicals of the Catholic OT, 1 Mac 4:36-59 and 2 Mac 10: 1-8. This would provide evidence consistent with Christ himself affirming the Canonicity of those 2 books.
I don't see how it possibly can. If by "Canonicity", you mean Divinely-inspired, sacred Scripture, in line with the books of Moses and the Prophets, the two Maccabbee books (there were FOUR) do not qualify as such and were NEVER considered that way by the Jewish people. The findings at Qumran included THOUSANDS of writings, not just those which were part of sacred temple writings. That they were found there is no proof of their canonicity. That the Jews, and Jesus in the first century, celebrated the Festival of Lights, is because of the traditional history passed down to them rather than their only knowing about it from Catholic-preserved Apocryphal writings - which this OP attempted to assert. The existence of historical writings doesn't confer canonicity to them seeing as the Jews did not include them in their canon.