Put all the chimichurri ingredients in a food processor and pulse until smooth and combined. You could alternatively do this step in a blender or in a bowl with a stick blender.

Mix the brushing oil ingredients in a small bowl

Preheat grill or grill pan to medium.

Skewer the shrimp and plantains on a few skewers each. Brush with the oil mixture, plantains first, then shrimp.

Get the plantains on the grill first and cook over medium heat for about 5 minutes.

Add the shrimp next to the hottest part of the grill and cook about 2-3 minutes per side, to lightly char and cook through. Remove from heat.

Brush the burgers with the oil mixture and put on the grill. Cover and cook about 5 minutes until the juices start collecting on the top of the burger.

Flip the burgers and add the cheese. Cover and continue to cook, all while keeping an eye on the plantains to not burn them.

Finally, toast the buns for a minute or two.

Build the burgers - Start with the bottom bun, then add some chimichurri. Add on the burger, then some shrimp and plantain. Finally drizzle on more chimichurri. Top with the remaining bun and serve.