Preheat oven to 375°F. Arrange bacon slices on a slotted broiler pan and bake to crisp, about 15 minutes.
Meanwhile, in a skillet over medium-high, sauté onions and finely chopped garlic in a drizzle of EVOO until softened, 5 minutes. Place in a mixing bowl and cool. Once cool, add meat, season with salt, pepper and thyme, and mix well. Divide meat into 4 pieces and shape each piece into 2 thin patties.
Top each patty with a mound of cheese crumbles then sandwich together with another thin patty, pressing together at edges and mold into burgers. Drizzle with EVOO, turn heat back on under skillet to medium-high. When hot, add patties and cook 6 minutes on each side.