Pigs seem to be getting worse every year here, this year being the worst. In fact, as I was reading this thread there was a TV news report about how the drought is bringing them into many of the farms. A papaya farm on Oahu was the report, but we are on the Big Island and have an even larger feral population.
Back to the damage. Even the hunters couldn't keep up in our area. Couldn't take it anymore so earlier this year, I bit the bullet and fenced in about 6 acres around the house - hog wire with a strand of barb wire at bottom. Mowing today out side the fence I see we don't have any less activity, just now it's outside the house area. Before the fence they'd come within 5 ft of the house to do their damage. We have 4 dogs, but guess the pigs knew which side of fence they were on.
To repair the damage, I have used my tiller and make several passes through the area. I don't have it set to till below the surface, but it will break up the overturned turf and sorta level it out. Not perfect, like new level, but at least the ankle twisters are gone. Another irritant is that they tend to root up the rocks, so now I have to hand pick them all over again.
Best of luck with both your control efforts and smoothing out the damage.
David