N.Y. State Fin. Law § 53-D
If an appropriation bill passed by the legislature contains items that the legislature has added in accord with section four of article seven of the constitution, then such bill must be accompanied by an estimate of the fiscal impact of such legislation on the budget submitted by the governor pursuant to section two of article seven of the constitution which shall include, if appropriate, an estimate of moneys and revenues, either in law or in legislation passed by both houses with the budget, sufficient to meet such additions. Such bill shall also include such other recommendations and information as the legislature may deem proper and such additional information as may be required by law. None of the restrictions of this section, however, shall apply to appropriations for the legislature or judiciary.
N.Y. State Fin. Law § 53-D