Well, the Zebrano trim is refitted. I checked the lamps in the controls to ensure that they light up. Checked the backlighting of the control "cups" and everything is in good order.
Thanks to everyone who posted advice.
The soaking in water, which caused the veneer to lift from the backing, DID help me! It allowed me to apply the Urethane adhesive evenly to the aluminum backing plate. With a partial attachment, I possibly would have had accurate registration of the pieces, but the still attached piece would have been suspect and may have lifted at a later date.
I am confident that this repair is permanent.
Well Done Team.
ps, Looks like I need to
clean the other trim pieces too