Caramelized Onion and Goat Cheese Pizza without vinegar

1 pound pizza dough store-bought or homemade, enough for 2 people, or as needed * 2 tablespoons olive oil 2 large red onions peeled, halved and thinly sliced[...]

2 teaspoons olive oil 2 cups thinly sliced onions , separated into rings (about 1 onion) 1 (1 lb) italian cheese-flavored pizza crust (such as Boboli) 1/2 cup[...]

3 red onions , thinly sliced 4 garlic cloves , thinly sliced 2 teaspoons brown sugar 1 teaspoon dried thyme salt and pepper 1 cup red wine , dry 3 cups[...]

add to shopping list 3 tablespoons butter 1 1/2 pounds onions, halved, thinly sliced (about 5 cups) 4 fresh thyme sprigs 1 1/2 pounds portobello mushrooms,[...]