Whisk flour, baking powder, baking soda and salt in a large bowl. Stir in walnuts and dried cranberries.
Whisk 1 cup sugar, applesauce, oil, orange zest and juice in a medium bowl until smooth. Make a well in the dry ingredients and pour in the wet ingredients. Mix until well blended. Cover with plastic wrap and chill for 30 minutes.
Preheat oven to 350 degrees F. Line a baking sheet with parchment paper or a nonstick baking mat.
Put the remaining 3 tablespoons sugar into a small flat-bottomed dish or pan. Roll the dough with floured hands (it will be very moist) into 1 1/2-inch balls, then roll in sugar to coat. Place 2 inches apart on the prepared baking sheet.
Bake the cookies until barely golden brown, 12 to 15 minutes. Cool on the pan for 1 minute; transfer to a wire rack to cool completely.
To Make Ahead: Prepare the dough through Step 2, cover and refrigerate for up to 3 days. Store the cookies in an airtight container at room temperature for up to 5 days.
Per cookie: 102 calories; 5 g fat (0 g saturated fat, 1 g mono unsaturated fat); 0 mg cholesterol; 15 g carbohydrates; 1 g protein; 1 g fiber; 94 mg sodium; 24 mg potassium
1 Carbohydrate Servings
Exchanges: 1 other carbohydrate, 1 fat