Maybe that's a bad idea after all.
There are a lot of versions of this sign out there; you can find a dozen or so examples on Etsy. This implies that many coffee shop owners around the world are apparently just itching to poison young children. And I get that; I've got a young child.
Though if you're reading this, know that I love you, little Blaydon.
The espresso is, I guess, intended to be a punishment for the parents of the young children, forcing them to deal with a caffeinated kid. And OK, sure, nice one, coffee shop proprietor. But, why involve a kitten? Aside from the fact that giving a cat to a family that doesn't want it is pretty cruel to the cat, offering pets to children is classic man-in-a-windowless-van behavior. That s**t will get you arrested and is no way to run a business.
What Probably Happened Here:
So, we've got a coffee shop owner, who is apparently exhausted with dealing with gangs of unattended children, has a steady supply of cats, and is unconcerned with being thought a pedophile. This means they're either a child themselves or a genderless robot that has started a coffee shop near a daycare as a way of humanely dealing with the product of their failed kitten mill.