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Combine the flour and sugar together in a bowl. Using a pastry cutter or just 2 forks, cut in the butter until the mixture resembles coarse crumbs. Measure ¾ cup of the mixture and set aside. Add the baking soda, baking powder and salt and mix well.
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In another bowl, beat the sour cream, egg and vanilla extract until well blended. Using a hand whisk or a spoon, stir gently into the flour mixture until just incorporated. Batter may be a bit lumpy. Set aside.
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Spread the batter into the bottom of the prepared pan. Pour the cream cheese mixture over the batter. Spread the strawberry filling on top of the cream cheese filling. Sprinkle the remaining ¾ cup crumbs over the strawberry filling.
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Bake for 50-55 minutes. Cool in the pan on a wire rack for 20 minutes before removing the cake.