Boil a large pot of salted water and cook the pasta according to package directions until al dente.
Drain the pasta and rinse under cold water to stop the cooking process; drain thoroughly.
In a small bowl, whisk together olive oil, red wine vinegar, lemon juice, dried oregano, minced garlic, salt, and pepper.
In a large mixing bowl, combine the cooked pasta, cherry tomatoes, cucumber, red onion, kalamata olives, and parsley.
Pour the dressing over the salad and toss to coat evenly.
Gently fold in the crumbled feta cheese.
Refrigerate for at least 30 minutes before serving to allow flavors to meld.