You first wash the cane/sugar beet. Then you crush them to get as much juice out as possible. This juice contains a lot of sugar, but at this stage there is also a lot of water (hence why it is juice...
I thi;nk Kroger is more likely to use beets, If the store were selling cane sugar it would surely be on the label as that is the most desired sugar.
While sugar cane is not the only source of sugar, sugar is certainly made from sugar cane.
2 grams
Cane Sugar is the sugar that is refined from the juice of Sugar Cane. Sugar Cane is a plant. Cane Sugar is a product.