Ignatius wrote in A.D. 110 that Jesus was gennetos kai agennetos meaning “begotten and not begotten.”
Did Ignatius believe in the doctrine of Eternal Generation of the Son? Why did he say that Jesus is not begotten in his divinity?
It seems what you quote is a Trinitarian formula of his as below:
It is clear that the Unbegotten is the Father.
In all his documents, Jesus, the Son, and the Trinity, are as per the Apostolic and Catholic Teaching.
From, Excursus on the Words Gennethenta Ou Poiethenta., my understanding is that Jesus as man is generated in time, his Divinity was never generated when he appeared as God-made-man, and he was begotten of the Father before time began.
cf. Athanasian Creed.
About St. Ignatius of Antioch
Source: Glimpses of the Church Fathers | Claire Rusell