Add the dry lentils to a pot with 4 cups of water. Bring to a boil and allow to simmer for about 20 minutes while you work on the rest of the recipe. Cook the lentils, uncovered, until the are softened and most of the water is evaporated
Add the oil to a skillet. Add the onion and allow to brown for about 5 minutes.
Add the shredded carrot and garlic and stir to combine. Allow to cook for a minute or two.
Add the cumin, paprika, brown sugar, salt, and worcestershire sauce to the skillet and mix well.
Add the burger patties (or other vegan meaty crumbles) to the skillet and mash with a spoon to incorporate. Allow to cook through for a minute or two.
Add the lentils and mix well.
Add the tomato sauce and mix well to fully incorporate. Allow to simmer over low heat for about 5 minutes.
Turn off the heat. Add the red wine vinegar on top and mix well. Serve on top of burger buns in an opened face style, or as a sandwich (if you dare!). Enjoy!