I believe the figures for the western front only include Germans. The figure for 188,700 German POWs taken seems to be cited by quite a few sources including some British ones like “Chronicle of the First World War”. I have also seen a slightly lower figure given for German prisoners captured from August 8-November 11, 1918. Some Austro-Hungarian prisoners were also captured by the BEF on the western front but I don’t think they are included in the 188,700 figure though I could be wrong.
The figures for Vittorio Veneto are presumably Austro-Hungarian as you point out.