Cat points are something you give someone when referring to giving them pussy/vagina/sex.
You can also earn cat points if someone has good rizz or is complimenting you
Girl, you two were flirting so much, your going to give him your cat points soon.
Or
Yeah man, I was talking to her all night, think I earned some cat points
Throwing beef is a combination of throwing shade and when someone has or is trying to start beef.
Person 1: they were gossiping about me and bitching about me to other people
Person 2: ooooh they're trying to throw beef!!
Or
Person 1: your so annoying
Person 2: says you
Person 3: ooooooh someone's throwing beef!!