hello, sugar gliders used to be one species, Petaurus breviceps (I never seen brevicapus used anywhere to be honest).
Now it has been split into 3 species P. breviceps (true sugar gliders), P. notatus (Krefft's gliders) and P. ariel (Savanna gliders), which species is effectively raised in captivity remains to be verified (according to the descriptions, most likely both sugar and Krefft's gliders).