Before beginning to make the cove cuts that will be the dominant visible feature of the raised panel cabinet door, we need to make a set of rabbets in the back of the raised panel. This will allow the raised panel to sit flush with the face of the rails and stiles.
After allowing the glue to dry for the appropriate period of time, remove the panel from the clamps. Using your table saw and miter gauge (or a panel cutting jig), trim the panel assembly to the finished size (which was 10-5/8" x 14-1/2" in our example door).
Next, give the assembly a good sanding with your random orbital sander. Once the panel is sanded to your satisfaction, return to the table saw, where you should still have your stacked dado blade set installed to a 1/4" wide cut.
Adjust the depth of cut to 1/4". Then, clamp a sacrificial strip onto the entire length of your fence (with the clamps at least one inch above the surface of the table). Position the fence so that the dado blade just barely touches the sacrificial strip, but so that the blade turns freely.
Place the back of the raised panel flat onto the table, and cut a 1/4" wide by 1/4" deep rabbet on all four sides of the panel's back, as shown in the image above.