In YITH Plugins -> Badge Management you find the following options:
- “Hide “On sale” badge”: removes the “On sale” badge that WooCommerce automatically applies to products on sale.
- “Hide in sidebars”: hide the badges in sidebars and widgets.
- “Product Badge overrides default on sale badge”: hide WooCommerce default “On Sale” badge when the product has another badge
If you assign a badge to a product on sale, your badge will be displayed instead of WooCommerce standard one.