If the doors are exposed to the elements, the most important issue regardless of whether you trim it out with wood, or stucco patch to match the existing, is that it is properly flashed/sealed behind it all before covering it up. I'll be installing a window in a stucco exterior wall in a few days and I asked how the homeowner wanted it finished, they chose to match up the stucco. A trick I've learned since matching the color coat is difficult at best on a project like this for many reasons, is to base coat the color coat,(typically white), and match the texture. Once that has cured/dried, take a piece of the original stucco color coat down and have some acrylic latex exterior paint matched up to the original stucco color and feather it in around the patched area. It's typically not a good idea to paint over traditional stucco concerning large areas, but using acrylic for small patched areas isn't going to hurt. Again the most important aspect of the project being flashing/sealing behind not interrupting the drainage plane