They never existed -- part of evolutionary thought. Part of Gap theory ideology.
Okay -- I'll bite -- how did They come into existence. From Your perspective. Because it's not Biblical.
Well that is simply not true.
Neanderthal people are very real. they left behind their skeletons, cave sites, tools, and they buried their dead.
They were alive and cohabited Europe and western Asia with so-called modern humans (homo sapiens)
"Neanderthal technology is thought to have been quite sophisticated. It includes the Mousterian stone-tool industry and possibly the ability to create fire and build cave hearths, make the adhesive birch bark tar,
craft at least simple clothes similar to blankets and ponchos, weave, go seafaring through the Mediterranean, make use of medicinal plants as well as treat severe injuries, store food, and use various cooking techniques;
such as roasting, boiling, and smoking.
Neanderthals made use of a wide array of food, mainly hoofed mammals, but also other megafauna, plants, small mammals, birds, and aquatic and marine resources.
Although they were probably apex predators, they still competed with cave bears, cave lions, cave hyaenas, and other large predators.
A number of examples of symbolic thought and Palaeolithic art have been inconclusively attributed to Neanderthals, namely possible ornaments made from bird bones or shells, collections of unusual objects; including crystals and fossils, engravings, music production indicated by the Divje Babe Flute, and Spanish cave-paintings contentiously dated to before 65,000 years ago.
Some claims of religious beliefs have been made.
Neanderthals were likely capable of speech, possibly articulate, although the complexity of their language is not known." -
Wikipedia
So where do Neanderthal humans come from if all are the children of Adam and Eve??