Use my settings, and cut out the design. (You can change the engravement to score, if you do not want to have deep lines; for me it was easier to paint this way).

The settings are for 10W M1 machine with riser base; 3mm pine plywood.

Use medium or fine tip acrylic markers, and paint the coffee cup as you wish. I used only brown and white, but you can play with different colors. (Also, if you make the design bigger, you can add extra things on it, like Stabucks logo, or coffee bean, or heart… possibilities are endless.)

Wait until it dries.

Add a clear coat to the front of your design, and to the edges. (I am using a painter tape to keep these small parts in one place, it is much easier, and working well if you make more at once).

Wait again, until it dries.

Use strong glue to add earring studs to the back, press it gently to the center of the earring's back, and leave until it dries completely. It might takes a while (there are glues, which needs 24 hours). 

Once it's done, you can add a thin layer of coat to the back too (you can add it to the studs' base too, it will make it extra secure).

If it dries, you can add the back oarts of the studs, and you are ready with your design :)