Preheat oven to 350 degrees. Spray a 9x13" pan with cooking spray and line bottom of pan with parchment paper. Set aside.
In a medium bowl, whisk flour, baking powder, and salt. Whisk in thyme leaves and zest until well combined.
In a separate bowl, whisk eggs until foamy, about 1 minute. Slowly whisk in sugar until mixed. Add oil, juice, extracts and yogurt. Mix until combined. Fold in dry ingredients until just combined.
Pour batter into prepared pan and bake for 35-40 minutes until golden and a toothpick inserted into center comes out clean.
Let cook for 15 minutes in pan before moving to a wire rack to cool completely. Cake may be chilled in refrigerator before assembling.