Place the larger burner cover so the design is on the bottom and not showing
Flip over the vase and add E6000 glue and some hot glue to the bottom of the vase, flip the vase back over and place the bottom in the center of the large burner cover
Repeat this for the top of the vase and add the smaller burner cover so the design is on the bottom and not showing.
Let this set for several hours so the E6000 glue can dry fully, while that is drying, brew some coffee, pour into a container and add your clothespins. I let mine soak overnight as I wanted to make sure the coffee color had seeped into the wood.
To get them to dry faster place them on a cookie sheet in the oven at 250 degrees for about 25 minutes.