Cook the pasta according to package instructions. Drain and let it cool.
In a large bowl, combine the cooled pasta, cherry tomatoes, cucumber, olives, feta cheese, and red onion.
In a small bowl, whisk together olive oil, red wine vinegar, lemon juice, oregano, salt, and pepper.
Pour the dressing over the pasta salad and toss until everything is well coated.
Chill in the refrigerator for at least 30 minutes before serving.