Bring a large pot of salted water to a boil for the pasta.
Heat the EVOO in a large skillet or pot with a tight-fitting lid over medium to medium-high heat. Melt the butter into the EVOO. When the butter begins to foam, add the oregano, garlic and onion and cook until softened, about 5 minutes. Add the wine and cook for 1 minute. Add the tomatoes and season with salt and pepper. Cover and cook until the tomatoes have burst and the sauce is thickened, 12-15 minutes.
Meanwhile, add the pasta to the boiling water and cook until al dente. Reserve 1/2 cup of the starchy cooking water, then drain the pasta.
Stir the sauce, then add the feta and cook until melted, about 1 minute. Add the pasta and the reserved starchy cooking water and toss to combine, 1-2 minutes. Top with the mint and parsley and serve.