Bicyclists who also own motorcycles and motorscooters have come up with some clever ways to mount their human-powered two-wheeler on their motor-powered vehicles.
This video shows how to carry a bicycle on your motorcycle or scooter. I have Ducati, but I don't carry my bicycle on that. I carry my bicycle on an Aprilia Scarabeo 250 scooter, and I use a 2x2cycles bike rack. I have never had any problems with my 2×2 cycles bike rack on my scooter. It easily goes highway speeds, around corners, or down bumpy roads. It works well for my mountain bike, but I do have to use an adapter for my Cannondale Lefty Fork.
This guy went the other way and mounts his perpendicular to the scooter: