Most of the edges are a bit burned from being cut by a laser. These edges could be sanded and finished or trimmed with leather but I decided I wanted to place a bit of veneer for decoration.
I had my veneer pieces laser cut. If cutting by hand pre-cut a whole bunch so you have lots to work with once you start applying glue to your surfaces.
Apply a smooth coat of wood glue to the surface you want to add the veneer to. Carefully place your veneer pieces. This process might take a while as clamping tends to push the pieces out of position and you are better off just holding them until the glue sets enough that they are unlikely to move.