to make someone return for trial to another country or state where they have been accused of doing something illegal

Extradite: This verb means to formally hand over an individual from one jurisdiction to another where they are accused of committing a crime. It directly relates to the process of returning someone to face trial. Excavate: This means to dig out or remove earth, which is unrelated to legal processes or returning individuals. Abscond: This means to flee or run away secretly, often to avoid arrest, but it does not relate to the act of returning someone for trial. Vanish: This means to disappear suddenly, which does not fit the context of returning someone for trial. Thus, "Extradite" is the correct term for the given description.