I embroidered a snow globe ornament on my embroidery machine. Then to make it double faced I picked a fabric for backing. You need a just small piece so it's great to use your scraps.
I put the two fabrics face together and stitched close to the embroidery. I used a ribbon for hanging my ornament, cut around 14" ribbon and stitched it between the two fabrics. Don't forget to leave a 1,5 " opening for turning and stuffing.
I trimmed the excess fabric leaving around 1/4'' and clipped all the curves. Then I turned inside out and finger pressed and stuffed the ornament. Finally I hand stitched the opening. Here is the back side of the ornament: