Coverage may vary by type of vehicle and situation.
Roughly:
Damage to others (personal injury or damage to other people's property) may in some cases fall under liability insurance.
Damage to or with a (motor) vehicle itself usually falls under a separate, mandatory insurance (for example, the third-party liability insurance of the owner of the scooter or car), and not under the Onsi insurance.
Which rules exactly apply is stated in the policy terms. In doubt? Always check the conditions first or contact Onsi.