From the scientific perspective in terms of
space-time, God created the earth with evolutionary events, including dinosaurs, Neanderthals, etc.
embedded in it.
Neanderthals belong to the species of Homo sapiens neanderthalensis. Today's humans belong to Homo sapiens sapiens. Both groups are humans (Homo sapiens). Both have 46 chromosomes though there is some uncertainty about that. Neanderthals existed only in space-time and not in
witnessed-time, as such, they never received a breath of God in their spirits. They would not be judged to go to heaven or hell.
From the biblical point of view, God created Adam and Eve in real-time (or witnessed-time) history as described in Genesis. Genesis 3:
20 Adam named his wife Eve, because she would become the mother of all the living.
Acts 17:
26 From one man he made all the nations, that they should inhabit the whole earth; and he marked out their appointed times in history and the boundaries of their lands.
In terms of first-order logic, both perspectives are true: witnessed-time and space-time.