Legal Question in Landlord & Tenant Law in Minnesota

Possibly. Your management company may be liable for the damage if they knew the door was in bad condition (if it had failed and caused damage before, it was well past its useful life, or it was clearly falling into disrepair). If, however, this was the first time it failed and there was no reason for your management company to know that it was likely for it to cause any damage, they are probably not liable.

This is a question where the specific facts of your case are critical to understanding their liability. If you believe there was good reason to think that the failure of the garage door was foreseeable - rather than just an unfortunate accident - you should contact a lawyer to talk more about the details of your case.