It's generally not a good idea to put body wash or any other personal care products in a home composting bin.
This is because most personal care products contain synthetic chemicals and fragrances that can be harmful to plants and soil.
Additionally, these products may not break down properly in a home composting bin, which can cause problems with the composting process.
It's best to dispose of personal care products in the trash rather than trying to compost them.
Personal care products can contain a wide range of potentially harmful ingredients, including preservatives, fragrances, dyes, and other chemicals.