Preheat your oven to 350°F and spray your mini Bundt pan with non-stick spray.
In a large mixing bowl, add the two eggs and beat until frothy, roughly 2-3 minutes. Add in 3/4 cup sugar and beat until fully combined.
Add 1/4 cup oil and 1/4 cup melted butter and beat until combined.
Add 1/2 cup Greek yogurt/sour cream, 1 teaspoon baking powder, 1 teaspoon vanilla extract, and 1/4 teaspoon salt and mix until combined.
With a spatula, fold in the 1/2 cup cocoa powder. I find it hard to mix it in completely on it's own, so I like to add the flour in next to help weigh it down. Start with a 1/2 cup of flour at a time until you get to the full amount of 1 1/2 cups. Once all the flour is added in and mixed up a bit, finish it off with the electric mixer. We're trying to avoid a flour explosion. Start on the lowest level on the mixer to help incorporate all of the ingredients.
Fill each Bundt pan cup about 2/3 full. Bake for 25 minutes or until a toothpick inserted in the thickest part comes out mostly clean.
Let the cakes rest for 10 minutes before removing them from the pan to cool completely on a wire rack. Don't remove the thin piece of cake that's covering the hole, if it's there. That will help keep the filling in.