Now you have different substrates that move at different rates. It's doable, I suppose, but special adhesives etc., are to be considered. That and species that tend to be more dimensionally stable than others too, perhaps. You end up better off just using thinner veneer, since that is what you have is veneer anyway, albeit thicker than usual. Even the thinnest, non-backed veneer calls for special adhesives and presses.
Here I used a very thin, non-backed veneer, and I applied it over MDF with thickened (by me, with fumed silica) epoxy. I live in an environment that has some pretty wild humidity swings at different times of the year. Otherwise, I would have had to use a special veneer adhesive. The substrate was epoxy saturated as well so it is now encapsulated in epoxy, after I primed the cabinets with the same epoxy used throughout.
Upon further thought, with what you have shown, you would be well ahead if you just bought plywood that already has the veneer of your choice applied to it. Then all you need be concerned with is some prep, and topcoats.