When applying for a patent for a Chinese medicine formula, should it be publicized on the website of the Patent Office?

To be publicized. It's usually impossible to keep a secret. The patent system is to exchange publicity for the right to monopolize the implementation. If it is a confidential patent, it can be kept confidential. However, patents involving national defense and other aspects are generally kept confidential. If the application is not rejected or deemed withdrawn, it will be announced at that time.