If your local country starts an audit on you, and they discover your offshore company.... they will try to contact the bank for more information. Otherwise, they will have no idea how much money your company has processed except to guess. The problem is that they might guess very high, and then you will need to prove they are incorrect. The only way to prove them incorrect would be to show audited financial statements.
It is better︀ to structure your offshore scheme so that you will never be associated with the offshore︁ company(s) if you are personally audited.