Preheat oven to 450 degrees F (230 degrees C). Line a cookie sheet with foil and spray with non-stick cooking spray.
In a medium bowl, toss red bell pepper, yellow bell pepper, eggplant, and squash with 2 tablespoons olive oil, salt, and pepper.
Spread the vegetables on the prepared cookie sheet and bake for 25 minutes, tossing occasionally, until lightly browned.
Boil pasta in salted water for 10 to 12 minutes until al dente, then drain.
Drain the soaked sun-dried tomatoes, reserving the soaking water.
In a large bowl, combine roasted vegetables, cooked pasta, sun-dried tomatoes, arugula, and basil.
Add remaining olive oil, reserved tomato water, balsamic vinegar, garlic, and feta cheese; toss to coat.
Season with additional salt and pepper to taste. Serve immediately or chill before serving.