They didn't just reverse-engineer the concept.
It's a fair bet the motor in that thing is a bolt-for-bolt clone of a Honda motor - almost certainly a "utility motor" of the sort found in generators, garden equipment, etc.
The problem is, the metallurgy isn't up to Honda standards.
You could try and drop in a Honda or whatever motorcycle engine complete with gears but that will involve some engineering. Not TOO bad.
OK: at present it has an "automatic torque converter", right? Meaning no clutch, gas it and go, and there's two V-pulleys with a rubber "fan belt" which change the gear ratio based on centrifugal force inside one of the two pulleys?
That's called a "Comet clutch" after the top American maker of same...also known as a "snowmobile clutch" as that's where they showed up first.
Inside those two pulleys are springs and weights that affect the gear ratio curve based on the known power of the motor and the vehicle weight.
You can almost certainly find a Honda utility-engine visually identical to what's in there. That will be the easiest swap by FAR.
Put some other utility motor in with the same diameter output shaft (probably 3/4" or 1", even the Japanese and Chinese use SAE on that item) and it'll be reasonably simple EXCEPT that the gear ratio setup on the Comet clutch might be off. You can get alternate springs/weights and learn to re-tune it if it's off far enough...a gas engine in the same horsepower ballpark won't need tuning while a Diesel might (way different powerband).
Odds are you've got a clone of a Comet of some type. See also:
http://www.billynorman.com/clutches.htmThis page is Comet's "master list" complete with pictures. Odds are you've got one of these or have a clone (94c is the most likely):
http://www.hoffcocomet.com/comet/aftermarket-torque-converters.aspTo convert to a motorcycle engine with it's own tranny and clutch, you'd have to rig shift and clutch linkages (not hard) and replace the rear pulley on the Comet clutch setup with a sprocket matched to the chain type for the forward sprocket on the motorcycle engine. This may mean customizing a motorcycle rear sprocket for the new bolt pattern: minor welding/machining. You'll also need to figure gear ratios for the new rear sprocket, based on the rear tire diameter being a lot smaller. If you can't find a rear sprocket small enough, you might need to put a bigger front sprocket on too to get ballpark close in gears (plus if it's not set up for as much top speed, that's probably OK, "grunt" is a good thing for this application).
What else...the motorcycle exhaust/muffler will have to be customized. No biggie, but if you start with a 2-stroke dirtbike engine be aware that the pipe design has a LOT to do with power output. Go google "expansion chambers" with "2 stroke" and "motorcycle"
Finding the Honda utility motor that you already have a clone of eliminates all this
.
One other thing: if you have a Chinese clone of a Comet clutch and it grenades on you, consider swapping out to a genuine Comet (second link above).