In Florida If you were in an accident and was excluded from driving the car and it was not your fault can the insurance co make the owner of the car pay for the damages on the other car?

The insurance company is not going to force anyone to pay for damages to a car. The person that was driving the car and or the owner of that car that caused the accident is liable for the damages to the other vehicles involved in the accident. If there is insurance coverage for that damage then the insurance company will pay. However if the driver of the At Fault vehicle is excluded from the insurance policy then the insurance company may be relieved from it's responsibility to pay on behalf of the owner of the vehicle.