Section 33. Transfer of officers and employees

Officers and employees of
  any board or department in or  of  the  municipality,  selected  by  the
  authority, who shall theretofore have passed a civil service examination
  with  reference  to the position they then hold, may be transferred with
  the consent of such board or department to the authority, and  shall  be
  eligible  for  such  transfer  and appointment, without examination, and
  their salaries or compensation shall, during  the  effective  period  of
  such  transfer,  be paid by the authority. The officers and employees of
  such  municipality  transferred  to  the  authority  pursuant   to   the
  provisions  of  this  section,  who  are members or beneficiaries of any
  existing pension or  retirement  system,  shall  continue  to  have  the
  rights,  privileges,  obligations and status with respect to such system
  or systems, but during the period of their employment by  the  authority
  all contributions to any pension or retirement fund or system on account
  of  such  officers  or  employees which would, except for such transfer,
  have been paid by such municipality, shall be paid by the authority; and
  all such employees shall have the same  status  with  respect  to  their
  positions  after  transfer  to  the  authority  as  they had under their
  original appointments. Any employee so transferred may be removed by the
  authority in accordance with the provisions of the civil service law.
    In addition to  the  right  of  reinstatement  that  such  persons  so
  transferred  shall have pursuant to the provisions of section thirty-one
  of the civil service law under  the  circumstances,  and  in  the  cases
  provided   in  said  section,  such  person  shall  have  the  right  of
  reinstatement pursuant to said section not only in the  service  of  the
  authority   but   also  in  the  service  from  which  such  person  was
  transferred.