N.Y. Const. art. VI, § 36

No civil or criminal appeal, action or proceeding pending before any court or any judge or justice on the effective date of this article shall abate but such appeal, action or proceeding so pending shall be continued in the courts as provided in this article and, for the purposes of the disposition of such actions or proceedings only, the jurisdiction of any court to which any such action or proceeding is transferred by this article shall be coextensive with the jurisdiction of the former court from which the action or proceeding was transferred. Except to the extent inconsistent with the provisions of this article, subsequent proceedings in such appeal, action or proceeding shall be conducted in accordance with the laws in force on the effective date of this article until superseded in the manner authorized by law.