This is an exceedingly difficult text, and most english readers might disagree as its highly contextual. But my read of this extract is that the author is arguing that humanity derives from "acting out time" that is making it into a narrative, a story, a history. That's the enacting part. The enunciated part seems to add that the author believes that the act of telling our stories, of creating histories, is essential to distinguishing humanity from mere biology. Others may take a different view. The author is taking some poetic liberties with the meanings of these two words.