It is okay for dogs to scratch and bleed without injections, because rabies virus is generally transmitted through saliva and blood. Dogs do not carry rabies virus on their paws, so they will not be infected if they are scratched and bleeding, and Rabies is only contagious before and after the onset of the disease, so there is no need to worry too much.
Tips:
After being scratched by a dog, it is best to rinse the wound immediately with running water, and then squeeze out the blood. Then apply iodophor for disinfection.