You may know computers, grasshopper, but road construction is NOT your forte! Aside from the city and/or county not being thrilled with someone just filling in mud on a paved road, there are complex structural elements involved in the correct base and underlayment to prevent the washboarding from getting worse. Just dumping in dirt might make it much, much worse and therefore, more expensive to repair. If the road was broken to install a sewer line, then someone, probably the person for whom the sewer main was intended, is legally required to repair the road.
This is the busy road construction season in Montana. There is ONE paving company that works around here and they are booked from first thaw to final freeze. It is very likely the road WILL be repaired as soon as a crew is available.
Do NOT just "dump dirt in the holes!" You will discover the meaning of legal liability if you do and that is somewhere you do not want to go. Ask the county road foreman when/if the repairs is scheduled or talk to the owners of the business. They tore up the road. They have contracted to have it replaced. They may know exactly what the problem is and intend to fix it but haven't been able to hire an actual experienced, bonded crew to do so.