Why were Neanderthals superseded by modern Cro-Magnon humans?

In the course of evolution, some individuals developed special adaptations to the environment. This is how the Cro-Magnons appeared. They drove out their predecessors in the course of active reproduction and struggle for existence. The struggle for existence is ongoing. Neanderthals fought among themselves, with the animal world, with the forces of nature and with the stronger Cro-Magnons. Some opponents of evolution believe that evolution is fiction, since monkeys did not disappear, unlike all human predecessors. But at the same time, they are absolutely unaware that man did not descend from a monkey, but descended from a common ancestor with a monkey. Therefore, you must always fully study any issue so that there are no misconceptions and other misunderstandings.