The simplest process for making a jig is to take a photo of your spoon, import it into your favorite vector editor, and simply make an outline to scale, either via trace or manually. For a simple shape like a spoon, even the manual method would only take a minute or two with some practice. Then you center your graphics on the spoon outline, and you are good to go.
You run the job in two steps: first you either score or cut the spoon outline into your jig material, and then you do a second job where you do the engraving once the spoon is in place.
Personally for something like a spoon? I would probably just do a scored outline type jig. The alignment needs to be quite good but it doesn’t have to be completely perfect, and you could easily eyeball an outline. By contrast if you do the type of jig where you cut a pocket in the shape of the spoon and then insert the spoon into the material to hold it in place your outline needs to be a lot more accurate. That much work is probably only necessary when you need to have accuracy down to within 100th of an inch or less. For something like this spoon, you can get accurate enough without doing all that work.
You can see example of how to do this in this thread: