Greasing of the FD splines isn't included in the service bulletin's - they are supposed to run dry. However, I can't see what harm it does to grease them up with some moly if you have the opportunity - I've done mine.
Did the final drive warm up when you took it for a ride?Having the wheel off to change a tyre this week I noticed the cable for the ABS sensor was chaffing and almost worn through to the inner wire. I removed it to tape it up and adjust the routing of the cable, but on taking the sensor off I noticed the final drive oil was like milk. Taking the advice from above I thought now was a good time to sort it, I took the bike for a run to warm it up and drained the final drive oil, it was a light grey colour and almost as thin as water. I changed the oil and unhinged the final drive, to my surprise the splines were dryer than a dry thing from dry land on a dry day, yet there was loads of white grease on the inside of the rubber boot I guess to keep the water out, there was no sign of water ingress, so no concerns there, I greased up The splines and put it all back together, strangely enough the bike had an 18000 mile service less than 2000 miles ago by BMW, I guess they don't bother with these things. As per the post above its worth having a look for peace of mind.
Did the final drive warm up when you took it for a ride?
I wouldn't have thought that a final drive would warm up.