What did ancient Greek writers write about Macedonia?

Aeschylus (Iketidai, 250) and Herodotus (V 22) believed that Macedonians were Dorian Greeks. Herodotus claimed that the Macedonians (called at that time Makednoi) who moved to Peloponnesos from Doris were later called Dorians.
[The English translation of the works by Herodotus we use is due to A. D. Godley and published by Harvard University Press in the US, and Willian Heineman Ltd in Great Britain as part of the Loeb Classical Library]
In Herodotus Book I, 56 (page 53) it is mentioned
"These races, Ionian and Dorian, were the foremost in ancient time, the first a Pelasgian and the second an Hellenic people. The Pelasgian stock has never yet left its habitation, the Hellenic has wandered often and afar. For in the days of king Deucalion it inhabited the land of Phthia, then in the time of Dorus son of Hellen the country called Histiaean, under Ossa and Olympus; driven by the Cadmeans from this Histiaean country it settled about Pindus in the parts called Macednian; thence again it migrated to Dryopia, and at last came from Dryopia to Peloponnesos, where it took the name of Dorian".
Elsewhere, VIII-43 (referring to the naval battle in Salamis) Herodotus wrote
"The Peloponnesians that were with the fleet were, firstly, the Lacedaemonians, with sixteen ships, and the Corinthians with the same number of ships as at Atemisium; the Sicyonians furnished fifteen, the Epidaurians ten, the Troezinians five, the people of Hermione three; all these, except the people of Hermione were of Dorian and Macedonian stock, and had last come from Erineus and Pindus and the Dryopian region. The people of Hermione are Dryopians, driven by Hercules and the Malians from the country now called Doris.".
In another passage Herodotus described how the Macedonian state had been founded (VIII,136-138).
There is one passage in Thucydides that descries the Molossians and other Epeirotian tribes among the 'barbarians'. It was proved following the excavations in Epeiros in 1950-1960 that the Molossians and other Epeirotian tribes were Greek, speaking Greek, and writing in Greek well before Thucydides' time. Thus Thucydides was wrong for these tribes. He was also wrong if he claimed, as some translators allege, that Macedonians had not been a greek tribe. Thucydides had also accused the Eurytanes, another Greek tribe, of being barbarians for their bad and improper use of the greek language and their aboriginal customs. The misinterpreted passage of Thucydides is given below. In Thucydides IV,124,1 (Loeb edition by C.F. Smith) the following passage appeared. "The total Hellenic force was about three thousand; the cavalry that went with them, Macedonians and Chalcidians, were all told a little less than one thousand, and there was besides a great multitude of barbarians".
[In Gk: "MAKEDONVN JYN XALKIDEYSIN OLIGVN ES XILIOYS, KAI ALLOS OMILOS TVN BARBARVN POLYS"]
This passage is sometimes misinterpreted so that Macedonians and Chalcidians for that matter appear to be considered barbarians by Thucydides. That this is not so can follow from an analysis of this passage. First, no one ever considered the Chalcidians, whose number is added to that of Macedonians, barbarians. Second, Thucydides distinguishes Macedonians and Chalcidians on the one hand and barbarians on the other by using the adjective few (Gk: OLIGVN) for the former and many for the latter (Gk:POLY). These two adjective clearly indicate a contradistinction.
Euripides lived many years and died in Macedonia. Many of his tragedies were written and played while he was in Macedonia. This would have been impossible, had the Macedonians been 'barbarians' (non-Greek). This is because in one of these tragedies, 'Iphigeneia in Aulis', the Greek superiority over the barbarians is emphasized. The following epigram in memory of Euripides which is attributed by some authors to Thucydides may give us more light to the actual beliefs of the people of that time (and possibly Thucydides)
"MNHMA MEN ELLAS APAS' EYRIPIDOU, OSTEA D' ISXEI GH MAKEDVN, H GAR DEJATO TERMA BIOU".
In brief, Macedonia, the land that holds the bones of Euripides is considered part of Greece.
Polyvios (VII 11,4, V 103,9, XVIII, XXXiV 7,13 , VII 9,1 IX 37,7) clearly stated his belief that Macedonia was greek, part of Greece, and considered Achaeans and Macedonians of the same race. The same beliefs were shared by Strabo as well as Titus Livius, to name a few other writers. It is also interesting to note that Polyvios describing the Balkan Peninsula he says that it includes Greece, Illyria and Thrace. One can thus deduce that he includes Macedonia in Greece. Had he not done so, he could have listed her separately.
Plutarchos(Flam. XI) describes Titus Contus Flamininus during the Isthmia celebrations claimed that Macedonia prevented barbarian attacks against Southern Greece.
Arrhianos' work is full of references to "Macedonia and the other Greece".