When it comes to referring to Chinese domestic animal breeds, there are several synonyms that could be used depending on the context and the specific animals being referred to. Some possible alternatives include Chinese livestock, Chinese farm animals, Chinese domesticated species, and Chinese cultivated breeds. If you are specifically talking about dogs, you might use Chinese dog breeds, while if you are discussing cattle, you could refer to Chinese bovine breeds. Other potential synonyms might include Chinese poultry breeds, Chinese swine breeds, or Chinese equine breeds. Ultimately, the best synonym to use will depend on the animals you are referring to and the angle you are taking in your discussion.