Preheat oven to 350°F (177°C) and grease a Bundt pan.
In a large bowl, whisk flour, baking powder, baking soda, and salt.
In another bowl, whisk yogurt, lemon zest, and lemon juice.
Beat butter and sugar until creamy and fluffy.
Add vanilla extract, then eggs one at a time, mixing gently.
Add dry ingredients and yogurt mixture; mix until just combined.
Fold in berries carefully.
Pour batter into pan and smooth the top.
Bake for 55–70 minutes until a toothpick comes out clean.
Cool for 1 hour, then invert onto a rack and cool completely.
Whisk glaze ingredients and drizzle over the cooled Lemon Berry Yogurt Cake.