Preheat your oven to 350°F (175°C) and prepare your 9x5-inch loaf pan by greasing it lightly or lining it with parchment paper.

In a large mixing bowl, combine 2 beaten eggs with 1 cup of granulated sugar, 1/2 cup of brown sugar, 1/2 cup of vegetable oil, 1 cup of buttermilk, and 1 teaspoon of vanilla extract. Whisk until smooth.

Sift in 2 cups of self-rising flour along with 1/2 teaspoon of salt into the wet mixture. Gently fold until just combined.

Fold in 1 cup of finely chopped pecans into the batter.

Pour the prepared batter into the greased loaf pan and smooth the top.

Place the loaf pan in the preheated oven and bake for 50-60 minutes, or until a toothpick in the center comes out clean.

Let the loaf cool in the pan for about 10 minutes, then transfer it to a wire rack to cool completely.