Were the Anunnaki extraterrestrials ruling the society in ancient Sumer, and is this the reason for the frequent mention of “Anuna gods” and such phrases in the cuneiform tablets describing the doings of Enki and Enlil as rulers, and also Ninmah. Are these truly Anunnaki extraterrestrials?

This is truly the case, that the term "Anuna" repeated again, and again, within the ancient tablets, referred to the Anunnaki origin, and that Enki and Enlil and Ninmah, as well, were Anunnaki ruler gods in their own right and persist as living beings, to this day, by virtue of their longevity. So, this is a perfect example of the reach through history of the extraterrestrials. Their presence being of long-standing and THE major influence on human experience, continues unabated, and with modest opposition by the Shift in Consciousness that is gaining ground, but always at risk of failure without increased human participation.