The answers above mine are more accurate, but long story short that's like, two totally different beliefs. Neanderthal man, is from the theory of evolution which is basically the earth was created by the big bang, evolution, etc. And the theory of creationism (Which is where the bible comes from) Says that god created earth, and man, etc. So, Neanderthal man isn't in the bible because, well, if you are a creationist, The theory of evolution is wrong, and there is no place for neanderthal man. i.e. he never existed.