Preheat your oven to 400F / 200C.
Mix the flour, 1/3 cup sugar, baking powder, baking soda, and salt. Grate the butter into the flour mixture on the large holes of a grater. Using your fingers work the butter into the flour until the mixture resembles a coarse crumb. Stir in pomegranate seeds.
In another bowl, whisk the cream/milk and egg until smooth.
Using a fork, stir the cream/ egg mixture into the flour mixture until a dough forms.
Empty the dough onto a well-floured surface and knead it briefly so that it comes together. Pat down to form a large flattened disk.
Using a sharp floured knife or pastry cutter cut the dough into 8 triangles. Place these on a lined baking tray allowing space in between each. Sprinkle the 1 tablespoon of sugar over the top surface of the scones.
Bake for about 15 minutes until golden brown.