Mix the pork, brown sugar, sage, thyme, ginger, cayenne, 1 1/2 teaspoons salt, 1 teaspoon black pepper and 2 tablespoons water in a large bowl. Form into 2-inch patties; transfer to a baking sheet, cover and refrigerate at least 1 hour or overnight.
Preheat the oven to 300 degrees F. Heat 1 tablespoon vegetable oil in a large nonstick skillet over medium-high heat; add half the sausage patties and cook, flipping once, until browned, about 5 minutes. Transfer to a baking sheet. Add the remaining 1 tablespoon vegetable oil to the skillet and repeat with the remaining patties. Transfer the patties to the oven and bake until cooked through, 3 to 5 minutes.