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Preheat the stove to 350 ºF.
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Spray two round 9 inch (23 cm) cake pans with cooking spray.
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Line the pan bottoms with parchment paper, and spray the top of the paper as well.
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In a bowl, whisk together the flour, baking soda, baking powder, cinnamon, cloves, nutmeg and salt. Set aside.
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In a stand mixer bowl, add the vegetable oil and eggs, and beat on medium high for about 2 to 3 minutes.
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Add the white and brown sugars and the vanilla, and continue to beat for another 3 to 4 minutes on medium high.
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Stop the mixer, slowly add the dry ingredients. Start the mixer again on low.
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After about 1 minute, increase the speed to medium low and add the carrots, pineapple and 1 cup of pecans, and mix for about 1 minute or until everything’s well incorporated.
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Pour the batter evenly into both pans.
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Place the pans in the oven and bake for about 40 minutes or until a cake tester or toothpick comes out dry.
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Remove the pans from the oven and let rest for about 10 minutes
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Run a sharp knife around the inside edge of the pans. Place a plate upside down over each pan and flip them upside down so the cakes fall on the plates.
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Let the cakes cool completely.
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While the cakes are cooling, make the frosting.
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In a stand mixer bow, add the cream cheese, butter, confectioners sugar, vanilla and lime juice.
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Beat the frosting mixture on medium high until creamy and fluffy, about 3 minutes. Set aside.
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Place the first cake on a cake plate with the top up.
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Using a sharp knife, cut a sliver off the top to straighten the cake top (time to taste test the cake :-)).
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Add about half of the frosting to the top of the cake and spread evenly and to the edges.
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Place the second cake on top of the first cake, top down (flat side up).
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Press the top cake down a little to seal/stick the edges to the frosting.
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Pour the remaining frosting over the cake and spread evenly to the edges. Feel free to make some designs on the top frosting.
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Sprinkle the remaining chopped pecans over the cake.
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Serve right away or place it in the fridge to help set the frosting and for serving at a later time.
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Enjoy!