The sense is certainly re-cover, and it would be a courtesy to the reader to write it with the hyphen to avoid ambiguity.
But such courtesies are often omitted. This piece has been extensively rewritten and simplified for the VoA. If you look at the original here you will find that the word recover (or re-cover) does not even appear; it has been inserted to explain the word upholsterer, which is unlikely to be familiar to most learners. The potential ambiguity probably never crossed the re-writer's mind.
Note, by the way, that there is no ambiguity in speech: re-cover is pronounced with stressed /ri/, as you may hear at 4:38 in the audio version at your link, while recover is pronounced with unstressed /rə/.