Grate the carrots. Line a pan with parchment paper or grease it with a little oil. My loaf pan measures 8x4x3 inches (20x10x7.5 cm). Preheat the oven to 375 degrees F (190 degrees C).
Process the Erythritol in an electric spice grinder until it’s very fine like icing sugar. Put it into a small bowl and add dairy-free milk and lime juice. Whisk until the icing is smooth.