Chinese Government Scholarship (also known as CSC scholarship) is divided into two categories, university program and bilateral program. University program is only available for some majors and you need to apply on both CSC website and CSU website.
For bilateral program, you shall apply directly to the Chinese Embassies and Consulates, and the major is not limited. The bilateral program only needs to be applied on the CSC website. If the major you are applying for is not available on CSU website, but is available on the CSC website, you can apply directly to the Chinese embassy to your country.
Note: If you miss the application time of the embassy or consulate abroad, you can also apply for CSC university program and CSU Scholarship.