Most likely originated in the armed services, probably during Vietnam. "Kick ass" is generically applied to beating the opponent, whereas taking names refers to killing the enemy, or "taking their names." Has been adopted into common usage as a general motivational statement.

A person who doesn't realize they are transgender yet, or is in denial; an undeveloped transgender person. When they realize, it's referred to as the "egg cracking."

This expression does not date back to Vietnam or the 80's. it is ancient in the marine corps and is what drill instructors did up until the mid 70's

This is just from rumors I hear and web forums I read. I started hearing "kick ass and take names" around the late 80's. Some say it's a police expression.

It probably means that cops or your group of fighters kick the ass of your opponents. Then you "take names" of the people you beat. That way you know the name of a guy you beat. And when you meet him again, you know you can beat him up again.

to behave roughly and violently (from the image of an overly punitive authority figure in the military or police

First used by Florynce Kennedy, black feminist and writer. Inspired feminists, black and white, with her motto “Kick ass and take names”.