Joh 1:14 And the Word became flesh and dwelt among us, and we beheld His glory, the glory as of the only begotten of the Father, full of grace and truth.
To beget is different from being made or created. When you make or create something you don't necessarily see your nature in the thing that you have made or created. For the Lord Jesus to be begotten of the Father means that the Lord Jesus has the same nature as the Father.
Since the Lord Jesus is also God, He therefore has no beginning point of existence. Begotten in His case is a figure of speech describing His likeness of nature with the Father. The Lord Jesus is like God. The nature of the Father is seen in the Son. He is begotten of the Father. They have the same nature.