It is not enough to kick over a scooter. We need to tag repeat offenders and increase the severity of the response. For instance, paint one handlebar grip on the first infraction, then the other grip on the second, then a seat, headlight/taillight, etc. A scooter that has been tagged enough can have the tires flattened, spokes broken, etc.
Clearly, there are numerous flaws with the solution above. It's really a terrible idea. To some degree it shows the flaws with kicking over offending scooters.
Alternatively, you could hire enforcement officers to issue citations. That also has flaws. You could build a system that allows random citizens to document offenses in a credible way and then have authorities act on repeated offenses. Also not without problems.
Perhaps coloring the scenario differently might help. Imagine, for instance, that a certain neighborhood house is popular with the neighborhood children. The children frequently ride their bikes to the house and leave their bikes strewn in the driveway, the front yard, and on the sidewalk. What would be an appropriate series of responses? How could you build a system that protects against a grumpy neighbor abusing whatever escalation mechanism you devise?