In a large bowl, whisk together the gluten free flour blend, salt, and lemon zest. Set aside.
In a mixing bowl, cream the vegan buttery spread and sugar on medium speed until light and fluffy. Add the unsweetened applesauce and mix until combined.
Add the dry ingredients a little at a time while mixing on low speed. Once everything is mixed well, turn off the mixer and add the currants and stir by hand.
Pat the dough into two discs and wrap in plastic wrap. Refrigerate for two hours.
Once the dough is chilled, preheat the oven to 350 degrees F.
Line a cookie sheet with parchment paper.
Sprinkle some gluten free flour on a parchment paper lined surface, and on a rolling pin. Take one of the discs out of the refrigerator and roll it out to about a ¼ inch thickness.
Cut out round shapes with a two inch fluted cookie cutter. Place the cookies on the prepared baking sheet.
Bake at 350 degrees F for about 10-12 minutes, or until cookies are lightly golden brown on the edges. Allow the cookies to cool on the baking sheet before moving them.
Repeat steps 7-9 with remaining dough.