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Preheat the oven to 170°C and grease and line a 20cm square or 22cm round baking tin.
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In a small pot over medium heat, combine the medjool dates and water. Bring to the boil. Add the baking soda and use a fork to whisk to combine. Turn off the heat and leave to cool. Using the fork, mix and slightly mash the dates a couple of times as they cool until you have a slightly chunky brown date paste.
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Meanwhile, cream the butter and both sugars until pale and creamy, about 5 minutes. Add the egg and vanilla and mix to fully combine.
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Add the date paste to the creamed mixture and stir until combined.
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Add the flour, baking powder, salt and coconut and fold until just combined.
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Add the feijoa chunks and gently fold through.
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Bake for 30 minutes. While cooking, make the coconut topping: combine all ingredients in a small pot over a low heat until melted together.
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When the cake has baked for 30 minutes, remove from the oven and gently spoon over the coconut topping, spreading out in an even layer.
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Return to the oven for a further 25-35 minutes or until a skewer inserted comes out clean and the centre is no longer jiggly.
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Leave to cool for a minimum of 2 hours.
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Serve alone or with ice cream or mascarpone for dessert.