Preheat oven to 350°F (175°C). Line a baking sheet with parchment paper.
In a large bowl, cream together the vegan butter, brown sugar, and granulated sugar until smooth.
Mix in the vanilla extract and non-dairy milk.
In a separate bowl, whisk together the flour, baking soda, and salt. Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
Fold in the vegan white chocolate chips and chopped macadamia nuts.
Drop spoonfuls of dough onto the prepared baking sheet, spacing them about 2 inches apart.
Bake for 10-12 minutes, or until the edges are golden brown. Allow to cool on the baking sheet for a few minutes before transferring to a wire rack to cool completely.