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Preheat oven to 350°F. Line a 9x13 baking pan with parchment paper, leaving overhang.
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Make crust: Mix crushed graham crackers with melted butter and salt. Press firmly into bottom.
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Bake crust for 8-10 minutes until lightly golden. Remove and let cool slightly.
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For carrot cake layer: Mix flour, baking powder, cinnamon, nutmeg, and salt. Combine oil, eggs, and sugars separately.
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Fold dry ingredients into wet ingredients. Fold in grated carrots. Spread over crust.
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For cheesecake layer: Beat softened cream cheese until smooth. Add sugar, eggs, and vanilla. Beat until fluffy.
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Gently pour cheesecake mixture over carrot cake layer, spreading to cover evenly.
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Bake 45-50 minutes until cheesecake is set but still slightly jiggly in the center.
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Remove from oven and let cool completely. Then refrigerate for at least 4 hours.
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Using parchment overhang, lift entire cake from pan. Cut into bars using a sharp knife.
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Store bars in an airtight container in the refrigerator up to 5 days.
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Freeze individual bars up to 3 months. Serve chilled.