For the yogurt: In a small bowl, mix the yogurt and honey together. Refrigerate until ready to use.
For the gratin: Preheat the oven to 425 degrees F. Butter a 2-quart gratin dish with the softened butter.
In a medium bowl, whisk together the milk and eggs. Whisk in the flour, melted butter, brown sugar, cane sugar, vanilla and salt, until smooth. Pour the batter into the gratin dish and arrange the apricot slices and raspberries on top. Bake for 20 minutes.
Take the gratin out of the oven, and sprinkle the top with the granola and almonds, and bake until the batter is light brown and set, and the fruit is tender, 5 to 10 more minutes. Let cool for 20 minutes before serving.
Serve with a dollop of the raspberry honey yogurt.