To consume and acknowledge some point of knowledge. The act of beknowledging something is the act of knowing that some "thing" is a fact, and adding it to your internal library of factual knowledge, ready for later use.
Person 1: "Bro, beknowledge this; you can go to jail for breaking the government's law, and you can also go to jail for finding out that the government is breaking the law."
Person 2: "Damn, consider me beknowledged."