A category other than replica, reproduction, re-manufacture according to the FAA would be simply "repaired":
Returning a destroyed or scrapped aircraft to service. Destroyed aircraft are
sometimes approved for return to service after the replacement of all primary structures. In
contrast to a new aircraft manufactured from new certified parts under an FAA production
approval, the reconstruction of a destroyed aircraft typically includes used and new replacement
parts from various sources.
Aircraft repairability determined on an individual aircraft basis. Because of the
complexity of aircraft designs and the widely differing conditions of aircraft subjected to
accidents or natural disasters, it is impossible to have one set of criteria define the limits of
repairing an aircraft to an airworthy condition.
An aircraft that has been damaged to the extent
that an inspector or accident investigator has declared it destroyed must be evaluated on a case by-case basis to determine its repairability. Due to the lack of regulatory specificity, any determination that an aircraft is destroyed can be subjective and may be challenged by other
parties with an interest in repairing the aircraft.
Repairs of aircraft declared destroyed or scrapped. If requested by the owner of an
aircraft that has been declared destroyed or scrapped, a FSDO or ACO may assist the owner in
determining if the aircraft may be repaired to an airworthy condition. The owner is responsible
for developing a repair scheme for the FSDO/ACO to review and approve (see detailed
instructions in Chapter 4, paragraph 4 of this order). It may, however, not be possible to
certificate an aircraft with its original identification if that aircraft has previously been declared
destroyed or scrapped and the aircraft’s identification plate and records are no longer available.
From:
https://www.faa.gov/documentLibrary/med ... 100.19.pdf