There is no question as to who wrote Genesis.
Of course there is. It is generally accepted that there was at least 4 authors, or schools, involved in contructing the Book of Genesis. Why do think there are so many anachronisms in the texts? How can Moses have written about things that happened after he was dead? Also, why do we have 2 different creation myths and two different Flood myths? If there was only one author of The Book of Genesis then it would not be in the mess that it is in, it would read far more smoothly.
“The book of the law of Moses” and similar references to the first five books of the Bible, of which Genesis is one, are to be found often from the time of Moses’ successor, Joshua, onward.
But this doesn't prove anything Peg? Nowhere in the Book of Genesis is the author identified, or even hinted at.
Personally, I do not think that Moses even existed, the fact that we don't even know his name is a pretty bad slip up.
Moses’ writership has never been questioned by the Jews.
You really need to stop pulling these ridiculous statements out of your butt.