Not sure of your knowledge level, so excuse me if you already know this stuff:
Procreate is a raster program, and Adobe illustrator is mainly for working with vectors, although raster images can be embedded or traced.
The glowforge engraves raster images, and can cut or engrave vectors.
Is it correct to assume you want to engrave the image you drew in procreate onto some wood and then cut it out, either as a square or as a contoured shape?
I made a tutorial-ish kind of a thing doing something like this. It’s not great, but it’s something. The post also links to another tutorial that might be more intelligible.