Boil orzo in well-salted water until al dente, 8–9 minutes. Drain, rinse briefly to cool, and drain again.
Whisk olive oil, red wine vinegar, lemon juice, garlic, oregano, salt, and pepper until emulsified.
Combine cooled orzo, tomatoes, cucumber, red onion, olives, parsley, and dill in a large bowl.
Pour the dressing over the salad and toss gently to coat. Fold in the feta.
Taste and adjust seasoning. Chill 20–30 minutes or serve at room temperature.