Generally speaking, the company's certificate is to prove your performance during this period, but what you prove is that you are politically consistent with the central government and have performed well. So just stamp it in the name of the company.
But the situation of each company is different, and the leadership practices are different. For future plans, I suggest that you'd better ask the person in charge of your company if there is any similar situation before and how to do it. If the leader signs it, you'd better sign it too, so as not to get yourself into trouble when the leader asks in the future.
You can communicate again if you have any questions.