If you were to click on this offer (which I highly discourage you from doing), you would be directed to this screen, asking you to share the coupon with your Facebook friends.
Simply put, DON'T DO IT! They say the best things in life are free, but all this is, is a free scam.
Here's the official post from Kroger's Facebook page, denouncing the fake coupon and scam:
Attention Kroger Customers: There is currently an unauthorized “Get $100 in Free Groceries when you spend $110 or more in one transaction” offer circulating on Facebook. This giveaway is not affiliated with or supported by the Kroger Co. We recommend not engaging with the site that the offer links to, or providing any personal information. Our team is actively working with Facebook as well as the domain service provider to address the concern.
Needless to say, this scam has already tricked a few thousand people. Please share this with any Kroger customer you might know so they don't fall victim.