Preheat oven to 350°F. Line two baking sheets with parchment.
Whisk flour, baking powder, baking soda, salt, and raspberry powder in a bowl; set aside.
Beat softened butter, granulated sugar, and brown sugar until light and fluffy, about 2 minutes.
Mix in eggs one at a time. Stir in vanilla, almond extract, lemon zest, and raspberry jam until smooth.
Add dry ingredients to the bowl. Mix on low just until a soft dough forms; do not overmix.
Chill the dough 30 minutes to firm up for rolling.
Place granulated sugar and confectioners' sugar in separate shallow bowls.
Scoop 1.5-tablespoon portions. Roll each into a ball, coat in granulated sugar, then heavily in confectioners' sugar.
Arrange on sheets 2 inches apart. Bake 10–12 minutes until puffed with crackles and edges just set.
Cool 10 minutes on the pan, then move to a rack to finish cooling.