By the question I understand the ancient historians. Perhaps there're more that I can't recall right now, however, after reading this question 3 excerpts [short & long] and a name came up.

Thucydides in a short passage [1.12.1-3] described that, after Troy, some social upheaval ['στάσεις'] arose in the greek cities. Then they are mentioned the Herakleideis [=Dorians] and the greek colonization phase that occurred after the upheavals settled down; unclear when exactly is meant.

Herodotus [1.56.3] describes shortly the journeys in greek mainland of Greek Dorians till they reached to Peloponnese & the area of Sparta.

Diodorus Siculus in his History Library [1.5] is mentioning that he used as source for the years after the fall of Troy, Apollodorus of Athens, whose the relevant work probably hasn't survived. And he actually placed the Troy events 408 years before the 1st Olympiad; that would be -776 -408 = 1184 BCE. They have survived only excerpts from the following relevant books of Diodorus Siculus. However, in his 7th [7.8ff] he seems giving some information especially around Peloponnese after the events of Troy.

By these, the answer to this question should be Apollodorus of Athens & Diodorus Siculus, whose complete works haven't survived.