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 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 whisk in the whole milk, stirring constantly until the mixture thickens, 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 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 toss with the cheese sauce until evenly coated.
06 - Transfer the coated 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 - Remove from the oven and garnish with fresh chopped chives or parsley before serving.