Preheat oven to 350F. Line a 9x5 loaf pan with parchment paper and set aside.
In a large bowl, beat butter and sugar until smooth and creamy. Beat in molasses, eggs, yogurt, ginger, and vanilla until smooth.
In a separate medium bowl, combine flour, baking soda, baking powder, salt, ginger, cinnamon, and cloves. Fold flour mixture into butter mixture alternately with milk until batter is smooth.
Scrape batter into prepared pan and smooth top. Bake loaf cake at 350F 40-45 minutes until a toothpick inserted in middle comes out clean. Cool loaf cake completely on a wire cooling rack.