First garter snake wont eat anything. Advise.

[FeederBreeder25]

I caught a baby garter snake a couple days ago and cant get it to eat. I dont know much about snakes yet but Im doing some research and cant find anything on how to get my snake to eat. I tried crickets and flies at first but I read they dont eat those so I tried worms. Nada. I breed mice so I have pinkies on tap but my snake is too little and if it wont take worms then should I try pinky parts? I dont wanna kill a pinkie for no reason. It is starting to get colder now that fall is here. Snakes hibernate like frogs right? I have a frog but I dont hibernate him and I would like to do the same with this snake. I dont intend to breed the frog or the snake so its not an issue.