I have done this with thin sheets of MDF and thin sheets of ply. (about3mm) The mdf was for raised panel paint grade and the ply was for a flat panel veneered. I don't have a picture of the painted doors but have attached a picture of the flat panel in the vacuum press and out. You need a glue with a rigid glue-line and enough open time to get it laid up.
We make the doors over height and width so they can be trimmed to size afterwards. We build a solid form to vacuum the panel to. We glue up the sheets then fasten them to the form in the middle top and bottom, then insert in form and pull as flat as possible before turning on the vacuum.
Spring back is a variable that is hard to predict and you need to do some trials to see what will happen. I find with tight bends it sometimes curls more after coming out of the form instead of flattening out.
It is a very time consuming process

I used a jig and a handheld router to do the raised panels. I think routing these doors with a CNC router would be a monumental task.
Good luck with it.