In a 12-inch skillet over medium, toast the coconut, stirring frequently, until golden, about 2 minutes. Transfer to a large bowl and set aside. In the same skillet over medium, heat 2 tablespoons of the oil until shimmering. Add the onion and garlic and cook, stirring, until lightly golden, 7 to 9 minutes. Transfer to a small plate, spreading it in an even layer. Refrigerate until slightly cooled, about 5 minutes. Set the skillet aside.