We had at least one Northumberland Fusiliers Infantry Battalion equipped with motorcycles in France and Belgium prior to Dunkirk, the Germans certainly made use of motorcycle troops at the same time but I have not read or even heard of a motorised battle?
Probably as soon as either force came into contact they would all have dismounted and fought as infantry.
My understanding of German tactics is that the motorcycle combat units were mostly sidecar mounted. The sidecar pilot took as little part in the actual fighting as possible, his job being to deliver the other 2 troopers to the combat scene & bring them out again. This worked reasonably well in the early European campaigns but was of little use in Russia. Although photos of some of the big BMW & Zundapp outfits show them fearsomely well equipped.
I've never heard of any army using solo motorcycles as a replacement for combat cavalry units.
If you read 'Hot Motors, Cold Feet' by Helmut Gunther, he outlines his experience in the SS, firstly as a volunteer motorcyclist and later as as a part of a motorised unit in Russia riding solo and side-car motorcycles. Well worth a read to see the experiences of the other side. It is one of the few books I have managed to read more than once.....
