N.M. Stat. § 40-6A-612
Recognition of order modified in another state.
If a child-support order issued by a tribunal of this state is modified by a tribunal of
another state that assumed jurisdiction pursuant to the Uniform Interstate Family
Support Act, a tribunal of this state:
A. may enforce its order that was modified only as to arrears and interest accruing
before the modification;
B. may provide appropriate relief for violations of its order that occurred before the
effective date of the modification; and
C. shall recognize the modifying order of the other state, upon registration, for the
purpose of enforcement.