As a Scandinavian I might be wrong in my understanding of English, but I would have presumed:
a) Back pressure regulating valve:
A valve to control the back pressure. Normally from a higher upstream pressure to regulate down to a lower downstream pressure, adjusted to maintain the downstream lower pressure within a given limit at varying downstream consumption.
Upstream pressure might be at a higher pressure class or also at the same pressure class as the downstream pressure.
b) back pressure valve:
Have never seen this used, but might be an isolating valve. In this case I presume this to be further qualified with a more detailed description elsewhere in the project (as you have to do with a presure regulating valve). The description could (should?) in this case for instance give full qualities as for instance: qualified as end valve, eg valve 'droptight and secure' at full pressure according to pressure class upstream, and pipeline demounted or emptied (atmospher) downstream, and perhaps the same the other way.
The project must describe detailed verbally, with examples of typical/acceptable valves/brands/constructions, drawings or datasheets the exact meanings, giving full flow details under all conditions.