Preheat your oven to 375°F (190°C) and line your baking sheets with parchment paper or leave them ungreased.
Cream together the softened butter, vegetable oil, granulated sugar, and powdered sugar until light and fluffy.
Beat in the eggs, one at a time, followed by the almond extract.
In a separate bowl, whisk together the all-purpose flour, baking soda, and cream of tartar.
Gradually add the dry ingredients to the wet mixture, mixing gently until just combined.
Fold in the chopped maraschino cherries, ensuring they’re evenly distributed throughout the dough.
Drop rounded tablespoonfuls of dough onto the prepared baking sheets. Flatten each cookie slightly with the bottom of a glass dipped in sugar.
Bake in the preheated oven for 8-10 minutes, or until the edges are lightly golden and the centers remain soft.
Allow the cookies to cool on the baking sheets for a few minutes before transferring them to wire racks to cool completely.