Preheat the oven to 350°F (175°C). Grease a loaf pan or line with parchment paper.

In a large mixing bowl, whisk together the beaten eggs, granulated sugar, and brown sugar until well combined. Add vegetable oil, buttermilk, and vanilla extract, mixing until smooth.

Sift the self-rising flour and salt into the wet ingredients. Gently fold until just incorporated.

Fold in the finely chopped pecans until evenly combined.

Pour the batter into the prepared loaf pan, smoothing the top with a spatula.

Bake for 50 to 60 minutes until golden brown and a toothpick inserted comes out clean.

Allow the bread to cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.