Pour the hot water over the flax seeds. (If you're using whole flax seeds, whirl the mixture in a small grinder or food processor.)
Pour the bran cereal into a medium-sized mixing bowl; pour the flax mixture, milk and applesauce over the cereal. Let the mixture sit to absorb the liquid for several minutes.
Whisk in the brown sugar, salt, oil, and egg. In a separate bowl, whisk together the flour, baking powder and fruits. Gently mix these dry ingredients into the wet ingredients, stirring just until everything is well-combined.
Use a 1/4-cup measuring cup or muffin scoop to divide the batter evenly among 12 well-greased or paper-lined muffin cups; non-stick cooking spray works well here. The cups will be filled and slightly heaped above the rim of the muffin tin.
Bake the muffins in a preheated 400°F oven for 20 minutes, or until the middle of a muffin springs back when touched lightly with your finger. Let them cool for 5 minutes in the pan (this will make them easier to remove), then turn them out of the pan ont