So... the craftsman has carried out the work that your insurance is supposed to pay for. Accordingly, you have to prove this. Then the craftsman did not give you a time sheet after completing the work, and you also did not countersign anything. Weeks later, the craftsman fills out his time sheets retroactively but does not sign them, and you confirm to the insurance in writing that this is correct...
The insurance... and any other company that is supposed to pay for the work of third parties as well... now naturally wonders how the craftsman still knew exactly how long he was on site after weeks and why he did not sign for it. To outsiders, it looks like he did not want to sign because he knows it is not correct. Without a signature and stamp, a friend of yours could have filled it out...
The insurance is not doubting the quality of the work, but the amount of work... and you unfortunately really messed up there. There is no other way to say it. If a craftsman does something, even if only for half an hour, you must always(!) get a time sheet with a signature and countersign it if necessary... otherwise, three weeks later you get a bill for 4 hours, and you have no proof that it is not correct...