I was confused at first, but "think" I may see where you're going now... so I'll add a few comments for whatever they may be worth.
First off, you shouldn't really be gripping overly tightly with either hand, but you DO need far more "pressure" than with a 2 wheel motorcycle since this isn't a counter steering situation (and the Ryker doesn't have power assisted steering).
If you are going into a turn aggressively, first important thing is to get your braking done early so you can gradually add throttle through the turn. This is true of any performance driving regardless of the machine.
As for actual mechanics on the bars, I generally try to push with one hand, pull with the other at relatively equal pressures per bar end. Shouldn't matter if the throttle grip is on the inside or outside of the turn.
Do not use the bars to help balance you on the machine. Lean slightly to the inside will help keep you well balanced. Do this by putting pressure on the outside peg to push your center of gravity to the inside of the turn.
Really, riding this feels very similar to ATV riding...
Not sure if any of that helps as I can't say I really "think" about it while riding, it just kind of happens based on previous riding experience between bikes, cars, ATV's, snowmobiles, jet ski's, etc... They all have their nuances. Take it slow and you'll find the best approach for both yourself and your machine...