Preheat oven to 220°C/200°C fan. Line your muffin tray with muffin cases or spray with non-stick spray.
In a large bowl whisk together the flour, baking powder, bicarbonate of soda, salt, caster sugar and light brown sugar until combined. Set aside.
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In a medium bowl whisk the melted butter, eggs, buttermilk, sunflower oil and vanilla extract until combined.
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Pour this wet mixture into the large bowl of dry ingredients, and fold together with a wooden spoon or rubber spatula until just combined.
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Now add the raspberries and white chocolate chips and continue folding together gently until just combined. Do not over mix at this stage as it will make the muffins dense.
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Fill each muffin case about 3/4 full.
Place the muffin tray onto the middle shelf of your preheated oven. Set a timer for 5 minutes. This initial 5 minutes at high temperature allows the muffins to rise more rapidly.
At the 5 minute point, without opening the oven door, drop the oven temperature to 180°C/160°C fan. Bake the muffins for a further 15 minutes.
Remove the muffin tray from the oven and place onto a wire rack. After 5 minutes remove the muffins from the tray and place them on the wire rack to cool completely.
Best eaten within around 4 days. Store in an airtight container at room temperature.