In a mixing bowl, combine the flour, baking powder, baking soda and salt. Using a spatula give it a quick mix.
Add the cold butter that you can cut into small pieces, or you can use a grater and grate it like I do. Rub the butter into the dry ingredients until you get a crumbly mixture.
Next, add the plain yogurt and bitten egg. Using a spoon, start mixing the dough. Then transfer the dough onto a work surface and knead the dough by hand until it comes together. Don’t add too much extra flour. I used the amount of flour specified in the recipe. But everyone has different flour, and some may need a little more or a little less.The dough should turn out soft and not stick to your hands. Split the dough in half and wrap each piece with a plastic wrap and refrigerate for 30-60 minutes. Meanwhile, make the filling. In a mixing bowl combine the sugar, salt, vanilla extract and softened butter. Using a spatula, mix the ingredients until combined. I like to use ghee butter for a more rich flavor, but the regular unsalted butter will work as well.
Next, add the flour and using your hand rub all the ingredients until you get a crumbly mixture.
Later, when the dough has chilled, slightly flour the work surface, place the first piece of dough on top and roll it into a rectangle shape about ⅛ -inch thick.
Divide one egg into an egg white and egg yolk. Save the egg yolk for later. Slightly brush the dough with the egg white. Then cover it with half of the filling mixture. Spread the filling evenly over the dough, leaving a small border around the edges, then slightly press with the palm of your hand.
Fold in the long side of the dough about 2-inches and the sides about 1-inch. Keep folding and brushing the dough with the egg white each time. At the end, pinch the seam.
Before cutting the roll, l like to sprinkle it with a little bit of flour and slightly roll it to make it flatter. after that, divide the roll into pieces. I like them about 1-inch wide. I like to use a crinkle cutter, but a knife will work just fine.
Carefully transfer the pieces onto a baking pan covered with parchment paper and brush each piece with the egg yolk that we saved earlier. Repeat the process with the second part of the dough. To decorate the Gata pastries, use a fork to make crisscross lines.
Bake at 375 degrees Fahrenheit for 30-35 minutes. Transfer the hot pastries to a cooling rack, let them cool completely and enjoy these gorgeous Armenian pastries!