The systemic scheme of the “black box” is a starting point to elaborate an explanatory approach to the main characteristics of anthropogenesis. Next steps are the stages of sapientization and the functionalist concept of care / structure which allows describe and explain the processes of biological and social (cultural) evolution in a unified manner. The most important processes of anthropogenesis associated with social interactions and communication have left no direct traces. That is why their analysis and explanation require special logic and methodology. An extended approach to the scientific explanation by K. Hempel is a special cognitive tool to overcome this difficulty. The models of gene-cultural co-evolution and cultural drive help to reveal the nature of the internal driving mechanisms (drivers) of anthropogenesis.