La. Code Civ. Proc. art. 5124
Within four days, exclusive of legal holidays, of the rendition of judgment holding the original bond insufficient or invalid, or at any time if no rule to test the original bond has been filed, the party furnishing it may correct any defects therein by furnishing a new or supplemental bond, with either the same surety if solvent, or a new or additional surety.
The new or supplemental bond is retroactive to the date the original bond was furnished, and maintains in effect the order, judgment, writ, mandate, or process conditioned on the furnishing of security.
The furnishing of a supplemental bond, or the furnishing of a new bond by a different surety, does not discharge or release the surety on the original bond; and the sureties on both are liable in solido to the extent of their respective obligations thereon and may be joined in an action on the bond.
La. C.P. § 5124