As from a fire kindled with wet faggot diverse kinds of smoke issue, even so, my dear, the Rg-Veda, Yajur-Veda, Sama-Veda, Atharvahgirasa, history, mythology, arts, Upanishads, verses, aphorisms, elucidations and explanations are (like) the breath of this infinite Reality. They are like the breath of this (Supreme Self).[brihadaranyaka upanishad 2.4.10]
So as the verse says, "the breath of this infinite Reality" means all four vedas, upanishad, history, mythology, are from the breath of God.
They must have come after the God.
Eternal : without beginning or end
So the question comes if the Vedas have beginning they be must have an end; so how can the Vedas be eternal.
I think this supports Nyaya and Samkhya's interpretation, of non eternal vedas.