K well u might not have noticed this, and just read what you wanted to read.
I'd recommend getting a ton of soil and some grass seeds.Level out the pit with new soil and sprinkle in the grass seeds. (keep off the grass for 2 weeks+) and the grass will return.Soil + grass seeds are cheap as, and your folks will be happy with the new lawn LOL(no gardener)
was reccomended, and then a cheaper option was reccomended
Park 20ft up from the spot for a few weeks and let the grass grow back...
Stop parking there and it'll probably fix itself.
And then since you still didn't get the picture
Its slosh because you've killed all the grass that was holding the dirt together.
Makes sense doesn't it?
If you wan't serious help or advice, consult your local bunnings, or landscaping place.
What kind of "car advice" will you get of a gardening and landscaping forum???