Preheat your oven to 350°F (175°C) and grease a rectangular baking dish or line it with parchment paper.

In a large mixing bowl, combine the butter, granulated sugar, and brown sugar. Cream together using an electric mixer on medium speed until light and fluffy, about 2-3 minutes.

Add the eggs one at a time, mixing thoroughly after each addition. Pour in the vanilla extract and blend until well integrated.

In a separate bowl, whisk together the flour, baking soda, and salt. Gradually mix this dry ingredients into the wet mixture until just combined.

Fold in the chopped pistachios gently with a spatula until evenly distributed.

Pour the mixture into the prepared baking dish, spreading it evenly. Bake in the preheated oven for 25-30 minutes until golden brown at the edges.

Immediately after baking, sprinkle the white chocolate chips on top and allow them a few minutes to melt before spreading them into a smooth layer.

Sprinkle the additional chopped pistachios over the melted chocolate and let the bars cool in the baking dish before slicing.