Remove the glass doors from their sliding track or from their hinges using a screwdriver. Cover your work surface with a drop cloth or old sheet. Lay the glass doors carefully on top with the side you'll be applying the wood to face up.
Spray the glass with an all-purpose glass cleaner. Wipe it down with paper towels and allow it to air dry for 15 minutes.
Load the tube of silicone glue into a caulking gun. Apply a zigzag of clear silicone glue to the underside of each panel from top to bottom.
Press each panel onto the glass, working from the far left end to the right. Immediately wipe up any excess glue that oozes out with a damp sponge.
Attach a C-clamp to the top, middle and bottom of each panel and the glass. This will ensure a strong bond. Allow the clamps to stay on for 24 hours.