Hello, thank you for taking the time to send us your feedback. When installing the Claro face plate on a Lutron dimmer there shouldn't be a need to screw anything into wood. The screws are designed to screw into the threaded holes on a dimmer or switch, that's why they are the length they are. If there is anything else we can address, please reach out to our Customer Support team at support@lutron.com, or call us at 1-844-LUTRON1. We're here 24/7.
Mike S. @ Lutron Support