01 - Preheat oven to 400°F. Cut 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 easily shreds into strands 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 whisk in the whole milk, stirring constantly until the mixture thickens and coats the back of a spoon, about 2–3 minutes.
04 - Reduce heat to low and add the cheddar, Gruyère, garlic powder, ground mustard, salt, and pepper. Stir until the cheeses are fully melted and the sauce is silky 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 mixture to a lightly greased baking dish. In a small bowl, combine the breadcrumbs, Parmesan, and melted butter. Sprinkle the topping evenly over the surface. Bake at 400°F for 10–12 minutes until the top is golden and bubbling.
07 - Finish with a scattering of fresh chopped chives or parsley and serve immediately.