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Preheat oven to 350 degrees. Set aside a 9x13 baking dish.
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In a large mixing bowl, mix together the cake mix, 1 egg, and the vegetable oil with a plastic spatula. Reserve 1 and ¼ cups of mixture, set aside. Add the rest of the mixture into the 9x13 baking dish and pat down, making sure it's even all-the-way around. Bake for 15 minutes.
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While the crust is baking, beat together the cream cheese, 1 egg, and granulated sugar using a mixer with the paddle attachment. It should be whipped and creamy. With the mixer on medium-to-low speed mix in the fresh lemon juice and lemon zest.
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Pour the batter onto the baked crust. Crumble the reserved mixture you previously set aside on top of the cream cheese batter. Bake for 15 minutes.
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Remove from oven and allow the bars to completely cool before slicing.