Preheat the oven to 350 degrees Fahrenheit.: The kitchen will fill with warmth as the oven comes up to temperature, and preheating ensures even rise and consistent baking from the moment the cake goes in. A fully heated oven creates proper lift and sets the edges first, preventing the center from staying raw. One common mistake is skipping preheat, which can cause uneven texture. Check that your oven rack is centered for even browning across the top and sides.
Prepare an 8" round cake pan by lightly oiling it or lining it with parchment paper.: Rubbing the pan with a thin film of oil gives a glossy sheen as the cake releases, and parchment creates a reliable nonstick layer so the fruit stays intact when you flip the cake. You should feel the surface slick under your fingers, ready for batter. A frequent error is using too much oil which pools, or too little causing sticking; use a light, even coating and trim parchment to fit snugly.
In a large mixing bowl, combine flours, baking powder and ground ginger (dry mixture).: As you whisk these ingredients, they should look homogenous, a pale, speckled mound with the warm scent of ginger rising. Properly aerated dry ingredients help the batter incorporate evenly, preventing pockets of leavening. Avoid clumps by sifting or vigorous whisking; lumps of flour can create dense bits in the crumb.
In a separate small bowl, mix the lemon zest and 1/2 cup of the coconut sugar together to release the zest oils. Once fragrant, whisk the lemon juice, eggs, coconut milk and olive oil in with the coconut sugar and zest (wet mixture).: Rubbing the zest into the sugar should produce a glossy, perfumed mixture, and the aroma will be noticeably citrus forward. When you whisk in the eggs , coconut milk , and olive oil , the wet mix will look smooth and slightly glossy, with the sugar beginning to integrate. This technique blooms the zest's oils and deepens flavor; skipping it mutes the lemon note. A common misstep is using cold eggs, which can make the wet mix look curdled; bring eggs to room temperature for a silkier emulsion.
Pour the wet mixture into the bowl with the dry mixture and stir together until combined.: At this point, the batter should look cohesive, with no streaks of dry flour, and it will carry the scent of lemon and coconut. Stirring just until combined prevents overdeveloping the batter, which keeps the crumb tender. You will notice a slight resistance as the flours hydrate, then a smooth finish. Overmixing is a typical error, leading to a tougher texture; stop when you see uniform color and no dry patches.
Pour the batter into the cake pan and sprinkle the rhubarb and strawberries on top, pressing them lightly into the batter. Sprinkle 1 tablespoon of coconut sugar on top.: As you arrange the fruit, watch how the red of the strawberries and vivid pink of the rhubarb contrast with the pale batter. Press just enough so the fruit adheres and will stay in place while baking. The final dusting of coconut sugar will catch the oven heat and create a thin caramelized crust. Avoid pressing too hard which buries the fruit completely; gentle placement lets juices bubble up without drowning the crumb.
Bake for 50 to 60 minutes until cake tests clean (mine was still a little mushy around the fruit at 50 minutes, so I baked it a full 60 minutes).: During baking the kitchen will fill with a fragrant combination of citrus, warm berries, and caramelizing sugar. Look for golden edges and a center that springs back slightly; a toothpick inserted near the center should come out mostly clean with a few moist crumbs, not raw batter. If the fruit area looks overly wet, extend baking time in five minute increments. A common mistake is removing the cake too early which yields a gummy center around the fruit.
Allow cake to cool and then turn it out onto a cutting board. Slice wedges and enjoy.: Cooling slightly lets the juices set so the fruit stays glossy but not runny when flipped. When you invert the pan, the top should gleam and the aroma will be bright and inviting. Use a sharp knife and let the cake sit five to ten minutes before slicing to avoid tearing. Cutting too soon can cause fruit to slip and ruin the presentation.
Refrigerate leftovers in a sealable container or bag.: Chilling helps preserve the texture and keeps the fruit from fermenting, and you will notice the flavors mellow and meld overnight. Store in an airtight container to prevent the cake from absorbing other odors. A common oversight is leaving the cake uncovered which dries out the crumb quickly; always seal tightly and consume within three to four days for best quality.