The size does come from poodles but i dont think AKC or UKC recognizes them all, i could be wrong.I presume the sizes come from the poodle, though small poodle cross golden is questionable
If you cross a 25lb poodle to a 75lb golden retriever then the pup will weigh over 25lbs and not be considered mini.
So technically they cross and then cross again to get the sizing they want so its a doodle being bred to another doodle