Preheat your oven to 180°C/350°F. In a large bowl, cream together the softened butter and the sugar.
Add the eggs, salt, cinnamon, and sourdough discard to the bowl. Mix well.
Next stir in the applesauce.
Add the whole wheat flour and the white flour to the batter and mix until smooth, with no lumps.
In a small cup, combine the baking soda with 2 tablespoons of hot water. Pour it into the batter and mix in well.
Fold in the grated apples and blackberries, being gentle so the berries don’t get squashed.
Grease the muffin cups liberally with oil or butter, then fill them 2/3 full with the muffin batter.
To prepare the old-fashioned streusel topping, combine sugar, flour, oats, and a pinch of salt in a mixing bowl. Cut in the chilled butter, rubbing it in with your hands until you have a crumbly mixture that resembles coarse breadcrumbs.
Top each muffin with about 1 tablespoon of the streusel topping.
Bake the muffins in the preheated oven for 12-15 minutes until risen and golden-brown on top.
Let them sit in the muffin cups until cool enough to handle, then gently transfer them to a cookie rack to finish cooling off.
These muffins are delicious served warm with some butter or whipped cream.