Preheat oven to 350F degrees and line a 9x13 baking dish with parchment paper, and set aside.
Prepare the cinnamon filling by whisking together the white sugar, brown sugar and cinnamon in a small bowl, and set aside.
Make the crumb topping in a medium bowl add the melted butter, brown sugar, flour and cinnamon, mix until it takes the appearance of coarse crumbs. Set aside until the end.
To make the cake batter add the butter, white sugar, brown sugar and cinnamon into the bowl of a stand mixer, with the paddle attachment, on medium for 2 minutes to until fluffy and a pale yellow color.
Add in the Greek yogurt, eggs, pure vanilla extract, baking powder, sea salt and mix for an additional minute until combined.
With the mixer on low, alternate adding the flour and whipping cream, mixing until smooth. Scrape down sides of bowl, and the bottom, as needed.
Spread half the batter into the prepared 9x13 pan then sprinkle the cinnamon filling evenly on top. Add dollops of the remaining batter on top of the cinnamon layer, then carefully spread.
Sprinkle the crumb topping evenly on top.
Bake for 55 minutes or until cake is set.
Remove from oven and set on wire rack to cool completely.
For the drizzle, whisk together the powdered sugar and milk until smooth, then lightly drizzle on top of cooled coffee cake.