Add flour, sugar, salt, and vegan butter to the bowl of a food processor and pulse until the mixture is crumbly, but holds together.

Transfer dough to a large bowl.

Sprinkle water over dough, then using a rubber spatula, fold and press dough until it comes together into a ball. Divide ball in half. Form each half into a 4-inch disk. Wrap tightly in plastic and refrigerate for at least 2 hours before rolling and baking.