As @primal_healer says, use different colors.
Perhaps you want to engrave the stars. Remove the outline definition of the stroke, which is black and fill it with a specific color, the same as your lettering. Then that will be engraved.
The inner circle and the squiggle create their own problem. You probably want to engrave that. You need to turn it into a filled shape. You do that by widening the stroke a bit. Then convert it to paths. The squiggle can be a different color and you can do a light vector cut or a score as a separate operation.
What vector program to do you have? Edit: Duh. I should read the title of the post!
Try this file and see if that might show you different techniques. Right click and save. Its and SVG.