First, there's no absolute law to confer voting rights to a very Indian of Chinese origin. There is eligibility criteria on case by case basis. So theres no basis for "Indian Community of Chinese Origins" have rights.

2nd, there's huge difference between Indian community of Chinese origin and Chinese living in Kolkata (India). I mentioned the former.

Chinese living in India can't have voting rights in India.

Besides, the whole point is why TMC MP's poster has text in Chinese? Who is she trying to influence or what is her intention with that.