Preheat oven to 350 degrees.
Grease a 10-inch springform pan and set aside.
In the bowl of a stand mixer combine sugar and lime zest, and mix on speed 2 for 1-2 minutes.
Add butter and beat on speed 4 until light and fluffy.
Add the eggs one at a time, beating well after each addition.
Mix in the vegetable oil and vanilla extract.
Gradually add the cake flour, baking powder, baking soda, and salt on speed 2.
Add milk, lime juice, 1/4 cup tequila, and 2 tablespoons orange liquor, stirring until batter is smooth, scraping the bottom to make sure all ingredients are combined.
Transfer batter to prepared pan and bake for 35-40 minutes, or until a toothpick inserted into the center comes out clean.
Remove from the oven; using a toothpick, stab many holes into the top of the cake.
Combine the remaining 1/4 cup tequila and 2 tablespoons orange liquor and pour it evenly over the top of the cake, allowing it to absorb.
Cool the cake to room temperature in the pan.
When fully cooled, transfer to serving plate.