Can the same product apply for two patents and trademarks in China under two names?

Of course, in general, some big companies have many brands, including main brands and sub-brands, that is, main trademarks and sub-brands. In order to enhance the popularity of his sub-brands, such companies often mark his two brands on the packaging or decoration, such as the "Golden Wine" brand of Wuliangye Company, and he will mark both "Wuliangye" and "Golden Wine" on the packaging, both of which are registered trademarks.