Preheat the oven to 350℉ and grease and line a 9x13-inch pan with parchment paper.
In a medium bowl, whisk together the 1 ¾ cups oat flour, ½ cup almond flour, 2 teaspoons baking powder, ½ teaspoon fine sea salt, and ½ teaspoon ground cinnamon.
In a large bowl, whisk together the ½ cup unsalted butter, ½ cup granulated sugar, and ½ cup light or dark brown sugar until well combined and slightly lighter in color. Whisk in the 2 large eggs one at a time.
Stir and whisk in one-half of the flour mixture, then the ½ cup plain yogurt, then the remaining flour mixture, stirring until smooth. Fold in the 1 cup chopped rhubarb and 1 cup strawberries until evenly distributed. Spread the batter into the prepared pan, smooth the top with a rubber spatula, and rest for 15 minutes.
Place in the oven and bake for up to 1 hour, checking around 50 minutes, until the surface is lightly golden and a tester inserted in the center comes out clean. Remove and place on a wire rack to cool to room temperature. I serve directly from the pan. Dust with powdered sugar before serving if desired.
Notes
Can I use frozen rhubarb? Yes, frozen rhubarb works great in this recipe. You can cut up the stalks directly from frozen without needing to defrost them.
How about frozen strawberries? I prefer to use fresh strawberries here because frozen strawberries can release too much excess moisture into the cake, making it a bit gummy.
Another fruit. Make a blueberry rhubarb cake or raspberry rhubarb cake by swapping the strawberries for another berry!
Use a 1:1 gluten free flour blend. If you wish, substitute a gluten-free flour mix, like my homemade gluten free flour blend, for the combination of oat and almond flours.
Dairy-free. Swap melted coconut oil or dairy-free butter for the butter and use non-dairy yogurt for the yogurt.
Add a glaze. Finish the cake with an easy lemon glaze or vanilla glaze for an extra bit of sweetness.