How the universe was created does not invalidate the what Genesis tells us.
God created the universe and everything in it and saw that it was good. He gave man free will whether to obey Him or not. Man, chose not to obey Him by choosing evil over good and thereby alienated himself and his progeny from God for infinity.
God out of His absolute goodness became man in the person of His Son, Jesus Christ in order to redeem His fallen creation. Christ offered Himself to the Father on the cross, the perfect and only acceptable sacrifice which fallen man could make.
None of this depends upon how long ago or exactly how the universe came into being or where on earth man was when he disobeyed his creator.
Genesis 1 and 2 were never meant to be a scientific explanation of the creation surely you recognise that.