The correct and most famous title is (पिछाड़ी पे कट्टा) or "Pichadiya Pe Katta" by the singer Khesari Lal Yadav . The word "Kutta" (dog) is a common mishearing — the actual word is "Katta" (a country-made pistol/rifle).
When you put it all together, the song isn't about animals at all. It is a directed at a female dancer. pichadi pe kutta kata lyrics