I have email Quaife just waiting to hear back.
Their website has the below general recommendation.
What sort of gear oil should I use?
When running a Quaife ATB Differential in a standard transaxle gearbox, we recommend you use the oil recommended by your vehicle’s manufacturer – the Quaife ATB Differential does not require any special lubricants.
When running Quaife gearbox internals and a Quaife ATB differential, we recommend FuchsTitan SYN5 75W90. For a Quaife ATB differential, running in a rear axle, we advise you use a hypoid 90 or 75W90.
For those applications that will accept a GL5 or SAE 75W90 gear oil, we recommend and sell Silkolene SYN5 75W90 gear oil. We use Silkolene in all our own Quaife racing transmissions.