Pepper Jam: Heat oil in a frying pan and cook the onion, red pepper, yellow pepper, garlic, oregano, and a pinch of sea salt flakes. Once the peppers begin to char and gain colour, add a splash of water, reduce the heat to low, and cover with a lid. Cook for about 30 minutes, lifting the lid occasionally to stir and add small splashes of water so the peppers don’t dry out. The mixture will slowly steam and caramelise, forming a sticky, jam-like consistency.
Corn Aioli: Roughly chop the corn kernels and squeeze out any excess liquid. Combine with sour cream, garlic, and a little salt.
Burger patties: In a bowl, mix the sausage meat with smoked paprika, oregano, garlic powder, and grated parmesan until evenly combined. Shape into 2 burger patties.
Fry patties: Once the pepper jam is ready, fry the patties until cooked through. Flip and top each patty with a slice of cheddar cheese, then cover and reduce the heat so the cheese melts over the meat.
In a separate pan, fry the eggs until the edges are crispy. Season lightly with salt.
Burger bun: Toast the cut sides of the brioche buns and spread 1 tablespoon of corn aioli on each half.
To build the burger: place lettuce on the bottom bun, followed by parmesan shavings, pepper jam, the cheesy sausage patty, and a fried egg. Finish with the top bun and serve immediately.