My thought, you can do it one of two ways...
This is how I do it for my soaps that have a sugar bead...
Or the other way would be...
Ingredients as listed above with "white sugar bead" edited as: White Sugar Bead [sugar, corn syrup, cornstarch, food-grade wax, and artificial coloring and flavoring]
When I do soaps that have MP embeds, I list the MP ingredients as the second option above, like this:
Note that this soap also has a sugar bead on it... I probably should list the sugar bead with the complete ingredient list... but then where does one stop? For example, the coconut milk that I use also has these ingredients:
COCONUT MILK EXTRACT, WATER, GUAR GUM, CARBOXYMETHYL CELLULOSE, POLYSORBATE 60, CITRIC ACID,SODIUM METABISULPHITE (SULPHUR DIOXIDE) - OR this ingredient list depending on which brand is available:
Coconut Milk, Water, Potassium, Metabisulfite ...
I think we have to draw the line some where. Acknowledging that there are sprinkles, or sugar beads, or coconut milk in the soap is enough for the customer. I can see someone questioning the soap embed ingredients, which is why I chose to list that on the ingredient list. This is just my thinking, though. Perhaps when it comes to the letter of the law, our ingredient lists really aren't as short or as clear as we would like.