Doses of BioNTech vaccine distributed by gov'ts in Hongkong and Macao were manufactored by Fosun Pharma. As vaccination rate has dropped dramatically since the initial rush, I don't know if Fosun Pharma is still manufacturing the BioNTech vaccine. Weirdly, I still don't think any foreign made vaccines are approved in mainland China.

Wiki: https://en.wikipedia.org/wiki/Fosun_Pharma#COVID-19

I cannot find any references via Google that prove Fosun Pharma has exclusive rights for Taiwan. If anyone has any specifics, please reply. Honestly, I doubt it, as Fosun in a mainland Chinese corporation and China was actively blocking Taiwan out of international COVID efforts efforts vis-a-vis WHO (World Health Org).