Prepare the Oven and Muffin Pan: Preheat the oven to 425°F (220°C). Line a six-cup muffin pan with six parchment paper liners.
Make the Cinnamon Orange Streusel: Melt the butter in a small bowl. Add the light brown sugar, all-purpose flour, ground cinnamon, and orange zest. Mix everything together with a fork until thoroughly combined. The mixture will initially look buttery and form a cohesive dough, but it should be easy to crumble when added to the muffins. Set aside. Mash the Blackberries: Place the blackberries in a bowl and mash them until broken down. Set aside while preparing the muffin batter.
Combine the Sugar and Orange Zest: Add the granulated sugar to a medium mixing bowl. Finely zest the orange directly over the sugar, using the zest from ¾ of the orange. Rub the zest into the sugar with your fingertips until the citrus fragrance is released and the zest is evenly distributed. Mix the Wet Ingredients: Melt the butter and stir it into the orange-scented sugar. Whisk in the room-temperature egg, vanilla extract, and Greek yogurt until the ingredients are combined.
Add the Dry Ingredients: Add the all-purpose flour, baking powder, baking soda, and salt to the bowl. Use a rubber spatula to fold the ingredients together gently, stopping as soon as the last visible streaks of flour disappear. A few small lumps in the batter are perfectly fine.
Fold in the Blackberries: Add the mashed blackberries to the batter. Fold gently just a few times to create visible blackberry swirls without mixing the fruit completely into the batter.
Add the First Layer of Batter: Divide approximately 2 tablespoons of muffin batter among the six prepared liners, placing it in the bottom of each liner. Spread the batter sufficiently to form the base layer.
Add the First Streusel Layer: Sprinkle approximately 1 tablespoon of cinnamon orange streusel over the batter in each muffin liner.
Finish Layering the Muffins: Divide the remaining muffin batter evenly among the liners, using approximately 3 tablespoons per muffin. Distribute the remaining streusel over the tops to create the final crumbly layer.
Bake at the Initial Temperature: Place the muffin pan in the preheated oven and bake at 425°F (220°C) for 5 minutes. Keep the oven door closed during this stage.
Reduce the Oven Temperature: Without opening the oven door, lower the temperature to 350°F (175°C). Continue baking for another 10–15 minutes.
Check for Doneness: Insert a toothpick into the center of a muffin. The muffins are ready when the toothpick comes out clean.
Serve the Muffins: Remove the muffins from the oven when baked through. Serve and enjoy the soft blackberry-filled crumb and buttery cinnamon orange streusel.