lime yogurt cake with blackberry sauce

INGREDIENTS

• 1 cup whole milk plain unsweetened yogurt (this is the ideal; however, I had success with 2% Greek yogurt)
• 1/3 cup vegetable oil (olive oil works as well, for a slightly different flavor profile)
• 1 cup sugar
• zest of one lime
• 1/4 cup lime juice
• 2 eggs
• 1 2/3 cups all-purpose flour
• 1 1/2 teaspoon baking powder
• 1/2 teaspoon baking soda
• 1/8 teaspoon salt
• 12 ounces fresh blackberries (frozen should work as well, but you should start with half the water)
• 1/4 cup water
• 3 tablespoons sugar
• 1 tablespoon fresh lime juice