01 - Preheat oven to 400°F. Slice the spaghetti squash in half lengthwise and scoop out the seeds. Place halves cut side down on a parchment-lined baking sheet. Roast for 35–40 minutes until the flesh is tender and shreds easily with a fork.
02 - While the squash roasts, melt the butter in a medium saucepan over medium heat. Whisk in the flour and cook for 1 minute, stirring constantly to form a smooth roux.
03 - Gradually pour in the whole milk while whisking continuously. Cook for 2–3 minutes until the mixture thickens into a smooth béchamel.
04 - Reduce heat to low. Add the cheddar, Gruyère, garlic powder, ground mustard, salt, and black pepper. Stir until all cheeses have melted and the sauce is velvety smooth. Remove from heat.
05 - Once the roasted squash is cool enough to handle, use a fork to scrape the flesh into spaghetti-like strands. Transfer the strands to a large mixing bowl and gently fold in the cheese sauce until evenly coated.
06 - Transfer the sauced squash to a lightly greased baking dish. In a small bowl, combine the breadcrumbs, Parmesan, and melted butter. Sprinkle the mixture evenly over the top. Bake at 400°F for 10–12 minutes until golden and bubbling.
07 - Finish with a scatter of freshly chopped chives or parsley just before serving.