You can prevent customers from selecting a mounting when incompatible colors and backboards are chosen.
Follow these steps to do so:
Navigate to the admin of Sign Customiser for your store
Click on "Customisers" in the home menu
Click on the customiser you want to edit
Click on "Mountings" in the lefthand side menu
Create or click on an existing mounting option.
While creating or editing a mounting in the admin backend, simply select the incompatible colors and backboards from their respective dropdown inputs with labels "Color Exclusions" and "Backboard Exclusions"