If you’re a renter, chances are garage doors aren’t your responsibility. Since they are part of the building’s structure, any damage caused by a covered loss would be paid for by your landlord’s insurance policy.
However, if your car was what caused the damage, property damage liability under your auto insurance covers the expenses up to your policy's limit. And if someone else’s car causes the damage, their property damage liability covers the cost of repairs or replacement.
MoneyGeek further details why renters insurance doesn’t cover garage doors and outlines some reasons you need coverage for this peril.