Line a large slab or baking sheet with parchment paper and lightly grease it.
In a saucepan over medium heat, combine brown sugar, white sugar, and evaporated milk. Bring to a boil, then stir in butter, pecans, and vanilla. Cook without stirring until the mixture reaches 112-116°C or the soft ball stage.
Remove the saucepan from heat and let the syrup cool for 5 minutes. Using a mixer, beat the syrup until it thickens before pouring it onto the prepared slab. Let it rest until it's firm to touch.
Once fully cooled, cut the pralines into desired shapes and serve.
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