Use a strainer or flour sifter and sift the gluten-free flour, cornstarch, ground flaxseeds, baking powder, and salt into a bowl. Whisk until the ingredients are fully combined.
Using a beater or stand mixer, beat butter until fluffy. Add sugar and beat until fully incorporated.
Add vegan buttermilk and vanilla extract, and beat until combined again.
Add in the dry mixture in batches, beating in between.
Add to loaf pan and place in the oven for 50-60 minutes, when an inserted toothpick or knife comes out clean. Cover with foil if the pound cake is brown after 45 minutes.
Let cool in the loaf pan for 30 minutes. Pull out pound cake using parchment paper, and place on a wire rack (preferably with paper towels or a kitchen towel underneath to catch any glaze that drips down).