Preheat the oven to 350°F/ 180 °C.
In a bowl, combine the flour, almond meal, and baking powder. Use a whisk to sift through the flour and break up any clumps.
Then stir in the dried apricots and walnuts until wholly submerged into the flour mix, set aside.
Combine the eggs (or egg substitute), applesauce, and maple syrup in a separate bowl. Stir until everything is well combined.
With a large (wooden) spoon, fold the reserved flour mixture into the wet ingredients bit by bit until everything is well combined and you get a slow dripping batter.
Coat the inside of a 9-inch square baking pan with some oil, then shake in a bit of flour (coating all sides), and tap out the excess.
Drop the cake batter into the prepared pan and, with a spatula, spread it evenly, so it reaches all sides of the corner.
Bake in the middle of the oven rack for 30 minutes or until a toothpick inserted in the center comes out clean.
Let it cool, then take it gently out of the pan and slice it into squares.
Keep the coffee cake at room temperature in an air-tight container for up to 5 days.