Serves 6
Give the polenta about 4 hours to set properly before cutting it into cakes.
Grease a baking sheet (approximately 9 by 13 inches) with olive oil.
Heat the first 5 ingredients in a heavy saucepan over medium heat until it reaches a simmer. Add the salt and pepper, just a bit at a time, and taste after each addition. Add polenta a little at a time, while whisking.
Switch to a wooden spoon and keep stirring. Continue to cook for about 5 minutes. Add Greek yogurt, turn off heat and stir well. Remove bay leaf. Pour onto baking sheet and smooth with a buttered or oiled rubber spatula.
Cover with a beeswax wrap (or other covering), put on the top shelf of the refrigerator and chill for 4 hours. While polenta is chilling, make the Pomegranate Sauce.
Once the polenta has set, heat a heavy skillet over medium heat until very hot. While pan is heating, cut polenta into roughly 3-inch pieces, using cookie cutters, biscuit cutters or a metal spatula. On a plate, sprinkle the remaining the dry polenta. Turn each cake on the plate until it is roughly coated.
When pan is very hot, add 2 tablespoons of olive oil and put 2 polenta cakes in the pan at a time, gently shaking pan from side to side for about 20 seconds, to keep cake from sticking. Cook for about 5 minutes, until browned.
Gently flip polenta cake with a spatula and cook 2 to 3 minutes. Place on a plate. Repeat until all cakes are fried.
To serve, spoon and smear a couple tablespoons of the Pomegranate Sauce onto a plate, place two or three cakes decoratively on the sauce and garnish with thinly sliced green onions.