Add all of the marinade ingredients to a large bowl and whisk to combine.
Dredge the mushrooms in the marinade a few times to coat them. Let the mushrooms marinate for 1 hour, flipping them halfway through.
Preheat the grill to 400ºF and clean the grates.
Place the onion rounds on a plate and drizzle them with olive oil and season them with salt and pepper.
When the grill is heated, transfer onions to the grill over indirect heat. Grill the onions for 10 minutes, flipping halfway.
Then, transfer the mushrooms cap side down on the grill over indirect heat. Grill the mushrooms for 3 minutes on the cap side, flip, and grill them for an additional 2 minutes.
Place a slice of cheese on the mushroom and close the grill for 1 minute, allowing the cheese to melt. Remove them from the grill.
While the mushrooms are cooking, combine the hummus and the ketchup in a bowl.
Assemble the burgers. Place the bottom of the burger bun on a plate, and transfer ½ cup of the greens onto the bun. Top the greens with the mushroom patty, and top the patty with grilled onion rounds.
Lastly, slather the top bun with 2-3 tablespoons of the hummus sauce to finish the burger. Serve immediately.