Is it possible for a dog to mate with its offsprings?

I am not sure what your question is here. I think you are asking if a dog can have puppies with one of its baby's? If so then my answer is no. A mom and a son cannot have puppies, but a Dad and a daughter can. I would not recommend either one of them because there is too much inbreeding going on already. I would not breed your dogs unless they are AKC registered anyways. If they are not please take them to the vet and get them spayed or neutered before they have any more puppies!