Preheat the oven to 180u00b0C/360u00b0F (fan-assisted oven).
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Prepare the vegetables: peel the sweet potato, carrots, parsnip and onion (the skin of the red kuri squash is edible; if the squash is organic or home-grown, there is no need to remove the skin). Cut the vegetables into small pieces.
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Line a baking tray with some parchment paper and arrange the vegetables (except the red onion). Add a generous splash of olive oil and then mix with your hands. Bake in the oven for 20 minutes. Mix the vegetables again and add the red onion, cook for a further 20 minutes.
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Meanwhile, rinse the quinoa and place in a saucepan. Cover with water and cook over a low heat for approximately 15 minutes.
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Once the vegetables are cooked, season and add the feta pieces. Place the vegetables and feta on top of the quinoa, sprinkle with freshly chopped parsley and serve.