Generally used to describe any form of using braids or similar appendages to bind an entity's will to your own. Once bonded, that entity's thoughts will mirror your own, and you will have complete control of the other entity.
This phrase was first coined in relation to James Cameron's movie "Avatar", when the Na'vi insert their "braids" into Banshees (Ikran) to allow control of the creatures in battle.
Na'vi 1: "Dude, it looked like you had some trouble subduing that Banshee."
Na'vi 2: "Yeah, but I braid-raped it in the end."