Greek Walnut Spice Cake

Name: Greek Walnut Spice Cake
Ingredients: 1 ¼ cups coarsely chopped walnuts, divided; 1 ½ cups white whole-wheat flour (see Note); ½ cup barley flour (see Note); 2 teaspoons baking powder; 1 teaspoon ground cinnamon; ¾ teaspoon ground cloves; ½ teaspoon baking soda; ¼ teaspoon ground nutmeg; ¼ teaspoon salt; 2 large eggs, at room temperature; ¾ cup packed dark or light brown sugar; ⅔ cup low-fat Greek yogurt; 2 teaspoons freshly grated orange zest; ½ cup orange juice; ¼ cup extra-virgin olive oil; ⅓ cup orange juice; ¼ cup packed dark or light brown sugar; 1 small strip orange zest (1-by-1-inch); 2 whole cloves