Carrot Cake Muffins with icing

2 cups carrots , chopped (or baby carrots) 1/2-3/4 cup applesauce 2 eggs , lightly beaten 1/4 cup oil (I use melted coconut oil, but any vegetable based oil[...]

1/2 cup vegetable oil 3 eggs , beaten lightly 1 1/2 cups self raising flour 3/4 cup caster sugar 1/2 teaspoon ground cinnamon 2 cups firmly packed grated[...]

1/2 cup pecans , toasted and coarsely chopped 2 cups carrots , grated 1 apple , peeled and grated 2 cups all-purpose flour 1 1/4 cups sugar 3/4 teaspoon[...]