Legal basis: Article 123 of the Criminal Procedure Law: If the criminal suspect who should be arrested is at large, the public security organ may issue a wanted order and take effective measures to pursue and bring him to justice. Public security organs at all levels can directly issue wanted orders within their respective jurisdictions; Beyond the scope of this jurisdiction, it shall be reported to the higher authorities that have the right to decide to publish it.
Therefore, the procuratorate has no right to issue a wanted order, and you can complain to the discipline inspection organ if you are suspected of exceeding your authority.