To a medium non-stick pot over medium heat, add turbinado sugar, white sugar, vegan sour cream, light corn syrup, and baking soda. Stir frequently until combined and sugars are dissolved.
Increase heat to medium-high and bring mixture to a boil. Continue cooking, without stirring, until a candy thermometer reads 240 degrees F. Remove from heat.
Stir in vegan butter, vanilla bean paste, and pecan halves.
Onto a prepared baking sheet, drop mixture by spoonfuls, 2 inches apart. Allow to cool completely and serve at room temperature.