N.M. Stat. § 35-15-8
If the judgment of the municipal court in the action is affirmed or rendered against the defendant on appeal, the district court shall enter judgment imposing the same, a greater or a lesser penalty as that imposed in the municipal court in the action. If the defendant fails to appear at the time set for hearing of the appeal in the district court without a sufficient showing for a continuance, the district court shall affirm the judgment and sentence of the municipal court and render judgment against the defendant and his sureties on the appeal bond. When the municipal court has imposed a jail sentence upon the defendant, the district court shall issue a bench warrant for the immediate arrest and confinement of the defendant.
NMS § 35-15-8