Hello,

I saw the screenshot you attached.

Please try adding the following Custom CSS in the Global Custom CSS area under Theme Settings >> Custom CSS.

For Sold Out:

.product-label.out-of-stock {
	background-color: #000000;
}

For the Other label:

.product-label.attribute-label:not(.label-with-img) {
	background-color: red;
}

Regard’s.
Xtemos Studios.