What is a plain shot? Are you talking about a carbon shot? As for carbon rackets, all rackets have trademarks. If you own a racket without any trademark, then this racket is coming out through abnormal channels. One possibility is that the team customized it from the manufacturer for training purposes. For example, provincial teams often use training racquets without any trademarks. The other type is the manufacturer's engineering racquet. It is molded in the factory, but it flows out before the logo is sprayed on.
In addition to these reasons, badminton rackets will have trademarks, origins and detailed racket performance parameters.
Hope this helps.