Heat up the grill.
Split the sausages vertically to "butterfly" them.
Place the split sausages, cut side down, on the hot grill and cook until browned and lightly caramelized. Flip after about five minutes to brown the opposite sides.
Lightly grill both sides of the split buns.
To assemble the chori burgers: Spread chimuchurri on the bottom halves of the buns. Top with grilled sausages. Garnish with tomato and cucumber slices. Cover with the top halves of the buns and serve immediately.