Preheat the oven to 350 degrees. In a large pot of boiling, salted water, cook the pasta until al dente; drain.
Meanwhile, in a medium saucepan, melt the butter over low heat. Whisk in the flour for 2 minutes. Increase the heat to medium, whisk in the hot milk and cook, whisking, until thickened, about 5 minutes. Stir in the feta.
In a large bowl, combine the meat sauce, cinnamon, cloves and sugar; stir in half of the pasta. In another large bowl, stir together the feta sauce and the remaining pasta. Transfer the meat-coated pasta to a 9-by-13-inch baking dish; top with the feta-coated pasta. Bake until golden, about 30 minutes.