Carefully carve the core out of the cabbages using a sharp serrated knife. I find the best way is to saw through the cabbage similarly to how you would carve a pumpkin, making sure to cut away from yourself. You should be able to pull the core out by wiggling it slightly; if it doesn't easily come out, you may need to cut a little deeper. Discard the core.
Add cabbage to a large stockpot and boil until the leaves begin to soften and change color. When the leaves begin to fall away from the cabbage, use a pair of tongs to gently pull them off, setting them aside in a large bowl.
Meanwhile, rinse the rice and soak for 20 minutes in a large mixing bowl, then strain. Add in chopped Italian parsley, cilantro, fresh dill, and diced onion, along with freshly minced garlic, spices, tamarind concentrate, tomato paste, and olive oil. Mix until thoroughly combined.
Discard 2-4 of the outermost leaves if necessary, as these tend to be bruised, torn, and not as fresh as the internal leaves. Use a paring knife to de-stem all viable leaves, saving 10-20 of them to line the bottom of the pot, which will prevent the lahana dolma from burning. Cut the de-stemmed leaves into small triangular pieces, about the size of a tortilla chip. The larger leaves will yield around 5 pieces, whereas smaller leaves will usually only yield 3 or so. Place cut cabbage leaves in a large bowl and set aside.
To roll, place about 1-2 Tbsp of the rice mixture in the center of the wide end of the cabbage leaf. Fold in the sides, then start to roll the cabbage leaf in an upward motion, starting from the bottom. The lahana sarma should be wrapped tightly so they don’t come apart while cooking, but not so tightly that you risk them ripping as the rice expands during the cooking process.
Carefully transfer the lanaha sarmasi to a large, wide pot, sprinkling dill weed over the cabbage rolls between layers. Cover the pot and cook over medium heat for 15 minutes. This will cause the lahana dolmasi to release some of its liquid, which will begin to steam the rice.
In a large measuring cup, combine tomato paste, water, sugar, citric acid, sea salt, cayenne pepper, and olive oil. Whisk until consistent, then pour over the lahana sarma. Reduce heat to the lowest setting and cover. Cook until juices are absorbed and rice is tender. This usually takes an hour to an hour and a half.
In a small saucepan, sauté diced onions in olive oil until translucent, about five minutes. Mix in tomato paste, paprika, sea salt, cayenne pepper, and water, and bring to a gentle boil. Lower the heat and let it simmer gently for 5-10 minutes, then serve alongside lahana sarmasi.
In a large bowl, combine Greek yogurt, water, salt, citric acid, minced garlic, and chopped fresh dill. Mix until consistent, then serve alongside lahana sarma.