richms: Depends on the damage. Some damage resulting from adjacent work is unavoidable and not something that they should have to repair. Driving a digger thru a fence is something they would have to repair.
The people I know who have complained are upset about the footpath not having a uniform finish now and the grass area being a little uneven out the front of their house now, one had their ricketty old fence start to lean as it was being abused as a retaining wall somewhat as well. None of those should be fixed IMO. IMO cival works on the street should not have to reinstate things that happen on the property if they were not being negligent or careless. Digging will often end up making things move and when you choose home ownership its just something you have to deal with IMO.
The berm is usually 99% not owned by the home/landowner behind that front fence. This berm and footpath being dug up is owned by of course the local territorial authority (council).
Up to them how pretty the reinstatement will be and it is also up to the landowner/homeowner to take reasonable care i.e. mow that lawn….but they really dont have to mow this.