Bring a large pot of salted water to a boil + cook tortellini according to package directions, until al dente. Drain and set aside.
In a small bowl, make the vinaigrette – combine the vinegar, lemon juice, garlic, oregano, and salt and pepper to taste. Whisk until combined. Add the olive oil and whisk again to emulsify.
In a large bowl, combined the cooked tortellini, chickpeas, chopped spinach, tomatoes, and carrots. Pour the vinagrette over the salad and toss gently to combine well. Taste and add more salt/pepper if needed.
Serve either chilled, or at room temperature.