The evidence of the type of beers they brewed - Pale Ales, Mild Ales, Porter and Stout - would suggest that they didn't. There isn't a continental type beer among them. There is a Vienna Prize Beer, but that's just the description of the beer that won them a prize at the Vienna Exhibition of 1873.
But this advert has me all confused, it seems to imply that they were brewing to the Bavarian system. See what you think (I've transcribed the advert because the original is close to illegible):
What do you reckon? It's not very clear, is it? If they were brewing the Bavarian way, why wouldn't they have produced a Lager, that sold at a considerably higher price than British styles of beer."ANGLO-BAVARIAN BREWERY
THE FIRST PRIZE VIENNA EXHIBITION, 1873,And only medal awarded for marked progress inBRITISH BEER.These ALES combine the essential properties of the production of Burton-upon-Trent with the best Beer of Munich and Vienna, Brewed upon the BAVARIAN SYSTEM.
Special attention is invited to the present Season's Brewings, and particularly to the VIENNA PRIZE BEER, which for Purity, Delicacy of Flavour, and Freedom from Acidity cannot be surpassed.
PALE ALE (Vienna Prize Beer) ................. 1s 3d per Gal.
AMBER ALE (Family Bitter Beer) ............ 1s 2d
OTHER ALES (Mild, Bitter, or Strong) ..... 1s to 2s 0d
PORTER and STOUTS (Mild Drinking) .... 1s to 1s 6d
FAMILIES SUPPLIED IN CASKS, NINE GALLONS AND UPWARDS.
BRISTOL STORES - 6, ST. STEPHEN STREET.
Western Daily Press - Thursday 12 March 1874, page 4.
It all makes no sense. Unless they just wanted to cash in on the renown of Bavarian brewing by making people think they brewed the Bavarian way.