1. The telecom company can provide your ID card and the authorization document signed by you.
In this case, it is likely that you did the business carelessly or negligently. There is no way but to pay the money, and the other party is not at fault.
The telecom company can provide your ID card and authorization document, but it is not your autograph.
The telecom company is at fault. It may be that the ID card you provided when you handled other business was copied and stolen. The telecom company made a mistake and didn't check the ID card and the person in charge. You can ask for a refund of the telephone bill.
The telecom company can't provide anything.
Congratulations, the telecommunications company 100% is in charge. Ask for the phone bill. If they have any promise to double the wrong fee, you can also ask for one plus one compensation.
Finally, I would like to remind you that you must be careful when using your ID card. When providing a copy, it is best to write "This copy is only for xxx to go through the formalities", which can reduce the chance of theft.