01 -
Let the butter sit at room temperature until softened. Grate the sharp cheddar cheese using the large holes of a box grater (about 1 1/2 cups).
02 -
Heat a griddle or large nonstick skillet over medium heat. Butter one side of each slice of sourdough bread (about 1/2 tablespoon of butter per slice). Place 2 slices of the bread butter-side down in the skillet. Divide the shredded cheese and birria evenly between the slices. Close the sandwiches with the remaining 2 slices of bread, butter-side up.
03 -
Cook the sandwiches until the cheese is melted and the bread is golden brown, about 3 to 4 minutes per side. Reduce the heat as needed if the sandwiches are browning too quickly.
04 -
While the sandwiches are cooking, place the birria consommé in a small saucepan and bring it to a low simmer over medium heat.
05 -
Transfer the sandwiches to a cutting board and cut each in half. Divide the warm consommé into 2 small bowls and garnish with fresh cilantro leaves and diced white onion if desired. Serve the consommé alongside the sandwiches for dipping.