Preheat your oven to 400 degrees F. Line a large, rimmed baking sheet with foil, then place an ovenproof baking rack on top. Arrange the bacon in a single layer on the baking rack, then bake until crisp, about 15 minutes depending upon the thickness of your bacon. Remove from the baking rack to a paper towel-lined plate and lightly pat dry.
In a small bowl, stir together the sauce ingredients: mayo, maple syrup, and sriracha. Set aside.
In a large bowl, lightly combine the ground beef, sausage, maple syrup, mustard, garlic, salt, and pepper just until combined. Shape into 6 patties that are about 4 1/2 in in diameter, being careful not to compact the meat.
Heat a large skillet over medium-high heat. Once it's hot, add a little oil to the skillet to prevent sticking. Add the burger patties then cook on the first side for 3 minutes. Flip, and continue cooking on the second side until the meat reaches 165°F on an instant read thermometer, about 3-4 minutes more. In the last few minutes of cooking, add the cheese and allow to melt. Transfer to a plate and cover to keep warm.
If desired, lightly toast the buns while the burgers cook.
Fry the eggs over medium heat in the same skillet you used to cook the burgers, either sunny side up or over easy, cooking the yolks to your desired level of doneness (I like mine fairly runny).
To assemble the burgers, top the bottom of each bun with a bit of the sauce, then add the arugula, burger patties, bacon, and fried egg. Place the second half of the bun on top. Enjoy immediately.
Notes
TO STORE: Place patties in an airtight storage container in the refrigerator for up to 2 days.
TO MAKE AHEAD: Uncooked and tightly wrapped burger patties can be stored in the refrigerator for 1 day or frozen for 1 month. Let thaw overnight in the refrigerator. Allow uncooked patties to come to room temperature prior to grilling.