Original sentence: An example would be Rosa  = 'Poulmax', in which Rosa is the genus,  is the trade designation, and ‘Poulmax’ is scientific cultivar name.Plants protected by plant breeders' rights (PBR) may have a "true" cultivar name – the recognized scientific name in the public domain – and a "commercial synonym" – an additional marketing name that is legally protected.The main body coordinating plant breeders' rights is the International Union for the Protection of New Varieties of Plants (, UPOV) and this organization maintains a database of new cultivars protected by PBR in all countries
Edited sentence: Plants protected by Plant breeders’ rights (PBR) may have a "true" cultivar name – the recognized scientific name in the public domain, and a "commercial synonym" an additional marketing name that is legally protected: an example would be Rosa  = 'Poulmax', the ‘Poulmax’ being the true scientific name.The peak body coordinating Plant breeders rights is the Union for the Protection of New Varieties of Plants (Union internationale pour la protection des obtentions végétales, UPOV) and this organization maintains a database of new cultivars protected by PBR in all countries