Add the cane sugar, brown sugar, salt, plant milk, and butter to a medium-sized pot. Place it on the stove over medium-low heat.
Use a wooden spoon to stir occasionally as the butter melts and the mixture starts to boil. Avoid scraping the sides of the pot because those cooled-down sugar crystals can lead to an extra grainy texture.
After 20-30 minutes, the mixture will start to thicken and become slightly resistant to stirring (softball stage). Use a cooking thermometer to check the temperature and take the pot off the heat once it reaches 235°F (110°C).
Let the mixture cool down for 10 minutes without stirring it. Prepare two sheets of parchment paper by placing them on a counter or on cookie sheets.
Add the pecans and vanilla extract. Stir this for 10 more minutes until the mixture loses its glossiness and turns to a creamy, opaque appearance.
Use a small cookie scoop to drop mounds on the parchment paper. At this point, try to work fast before the mixture starts to solidify. If it does, stir in 1 tbsp of hot water to be able to scoop out the rest of the candies.
Let the pralines cool at room temperature for 1 hour before enjoying them.