N.Y. Crim. Proc. Law § 570.56
The expenses of extradition must be borne by the county from which the application for a requisition comes or, where the application is made by the attorney general, by the county in which the offense was committed. In the case of extradition of a person who has been convicted of a crime in this state and has escaped from a state prison or reformatory, the expense of extradition shall be borne by the department of corrections and community supervision. Where a person has broken the terms of his or her parole from a state prison or reformatory, the expense of extradition shall be borne by the state department of corrections and community supervision. Where a person has broken the terms of his or her bail or probation, the expense of extradition shall be borne by the county. Where a person has been convicted but not yet confined to a prison, or has been sentenced for a felony to a county jail or penitentiary and escapes, the expenses of extradition shall be charged to the county from whose custody the escape is effected. Nothing in this section shall preclude a county or the department of corrections and community supervision, as the case may be, from collecting the expenses involved in extradition from the person who was extradited.
N.Y. Crim. Proc. Law § 570.56