First get the vegan butter & shortening or coconut oil to the freezer while you measure the rest of the ingredients.
Combine the flour, salt, sugar in a food processor (or you can mix the entire recipe by hand with a pastry cutter or fork) process to distribute the ingredients evenly.
Dice or shred the cold vegan butter & the shortening or coconut oil & add to the flour in the food processor, pulse until it is mealy & course crumbly texture.
Add the cold water & the liquid oil through the feed tube while pulsing then process until a soft crumbly dough forms. *see video visual
It will be very crumbly & seem very dry this is good! Turn it out onto a lightly floured surface & gather the dough together to a soft ball that stays together. (If you have to use wet hands or a Tbs of water this is ok!)
Wrap in plastic & refrigerate for an hour to relax the dough & to allow the flour to absorb through.
Once chilled, roll the dough on a lightly floured surface (this dough is much easier to roll between 2 pieces of parchment or wax paper) to about 12" diameter (¼" thick) and line your pie plate. Trim the excess & re-roll to cut out the optional leave shapes to adorn the rim of the pie.
Notes
Storage: Pie dough is best rolled out and formed into a pie shell, then frozen or used right away