what is a subjugated auto claim mean

Most likely what you're asking about is "subrogation" not "subjugation." Subrogation is the substitution of one party in the place of another in the context of an insurance claim. Imagine a situation in which there is an automobile accident, an insurance policy holder sustains injuries, and the insurance policy holder has a claim for damages against the other driver. Typical insurance policies give the insurance company the right to step into the shoes of the insurance policy holder for purposes of going after the other driver to recover damages.  That's what subrogation is all about. A subrogee is the party which has the legal right to attempt to collect a claim of another (subrogor) in exchange for paying the other's expenses or debts claimed against a third party.