Stop Kickstand on Plate Shifting into Crank Arm
Kickstands are fiddly, and things tend to move unless really locked off. It's possible the bolt is loosening and the plate movement is the first symptom of loosening. To stop my bolt loosening, after adjusting everything to my liking I added a jam nut (a nut tightened against the already threaded part). This happens to be a self locking nut as that's what I had in the right size.  This is on a double kickstand similar to the one in the question.

Mine also came with a thin rubber pad to go under this plate. That helped, but when it broke I used a piece of inner tube cut to fit, which worked just as well.

Some of these plates are thicker, actually cast into a shape that should settle evenly across the chainstays. You could emulate this by attaching (probably gluing) a piece of plastic or aluminium to the plate, so that it sits between the chainstays. It would only need to be a few mm thick (around 1/4 inch) to prevent movement but would need to be nicely shaped and firmly fastened