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Preheat the grill to medium heat, aiming for a temperature of approximately 400º Fahrenheit.
Combine cotija cheese, mayonnaise, sour cream, chopped cilantro, lime juice, Tajín seasoning, smoked paprika, and garlic powder in a large bowl. Whisk until smooth and well blended.
Place the corn directly on the grill grates. Grill for 3 to 4 minutes per side, turning occasionally, until all sides are tender and lightly charred. Total grilling time should be 12 to 14 minutes.
Remove the corn from the grill. Coat each ear evenly with the prepared sauce using a pastry brush or spoon. Squeeze fresh lime juice over each ear and sprinkle with additional cotija, cilantro, and Tajín before serving.