you are quoting your idea from the Documentary Hypothesis…
which Julius Wellhausen popularized in the twentieth century. In a nutshell, the Documentary Hypothesis purports that the Pentateuch of the Hebrew Bible (Genesis, Exodus, Leviticus, Numbers, and Deuteronomy) was not written by Moses in 1405 BC—as has been traditionally believed—but rather, was formally pieced together in the late 500s BC by combining the writings of different authors, from different places, from different periods of time.
As such, Wellhausen believed the Pentateuch does not stand as a reliable documentation of history, and he points specifically to the opening chapters of Genesis as a proof text for how there were, indeed, two authors and two different accounts that became represented in the final edition of the book.
https://www.austingentry.com/2-creation-accounts-in-genesis/
Genesis 2:19 is a literary summary about what the lack of a corresponding human for Adam would mean, just as Genesis 1:26-28 summarizes the creation of male and female together. Cassuto’s observation means we have to be careful to see what the Bible is actually trying to do and be careful not to place on its intent more than it is doing. When we read the Bible as doing more than it is affirming, we may create a problem or expectations where one does not exist. Reading carefully and keeping an eye on options for what an author may be doing may prevent us from becoming trapped in a problem of our own making in asking the Bible to do something it is not attempting to do. Are the Creation Accounts in Genesis 1 and 2 Different Stories? - DTS Voice
There are different emphases in the two chapters…but the reason for these is obvious. Chapter 1 continues the narrative of creation until the climax, namely, man made in the image and likeness of God. To prepare the way for the account of the fall, chapter 2 gives certain added details about man’s original condition, which would have been incongruous and out of place in the grand, declarative march of chapter 1 Are There Two Creation Accounts in Genesis? - Apologetics Press
If we need to drag up the reasons why this doesnt work all over again, I will start by saying that making the claim there are multiple authors in Genesis in order to discredit the Genesis account begins to dismantle all of Christianity. The trustorthiness of the Bible unravels in the very first book and it only gets worse, any reference to Genesis in later books of the bible are also immediately discredited.
The bible isnt a book one can pluck the eyes out of for their theology…it relies on consistency and is intimately interlink throughout its pages. Those who claim the old testament isnt relevant are fools.