2 strokes still have transmission/engine oil, but it shouldn't be in the crank area. There might be a little 2 stroke mix left over from running/trying to start the engine in the past in the crank area, that's why sometimes a 2 stroke will smoke a lot when it first starts, or after idling for a while then revving it out, atleast that's my understanding of it. Anyway, the transmission section of the engine should have some sort of drain somewhere. Looks like the fill is on the right side of the machine (left side in the photo). The service manual would suggest what grade of oil to run and such, I suspect some people run transmission fluid in them, but normal ATV oil is probably what it normally calls for. Also note, ATV oil isn't anything super special, the biggest thing is that it has to have the right certs for wet clutches. A lot of engine oils are made with friction modifiers which will make wet clutches slip. Rotella T was one of the oils with the right certs, but I can't remember which weight had the right one, the other weight didn't have them. Rotella T is pretty good oil even though it's made by Pennzoil (never run that junk unless you 100% always change your oil very often).
Anyway, looks like it's coming along well. Should be a fun machine to ride, never had a Yamaha 3 wheeler besides a Tri-Z for a short while with a couple major issues.