Does a trademark need to be submitted for the developed game to be put on the platform?

This depends on whether the platform on which it is listed has requirements.

For example: The Apple App Store requires software copyright certificates for online games, and the same applies to Steam.

As for whether the company needs a trademark?

This depends on what business you are doing. 99% of e-commerce companies need trademarks, because Tmall and JD.com require submission.