Step 1 Rinse 2 cups of rice and transfer to a large saucepan. Add 3 1/2 cups of water with 1 Tbsp olive oil and 1 tsp salt. Bring to a boil then reduce heat, cover and simmer for 20 min, or until all water is absorbed.
Step 2 Fill 2/3 of a large soup pot with water and bring to boil. Add 1/2 Tbsp salt and 4 Tbsp vinegar.
Step 3 Peel and discard the two outer leaves from each cabbage. Use a knife to cut out the cabbage cores. Place first cabbage in water, cork side down, for 5 minutes, flip cabbage over and continue cooking for 5-6 min. Pull off leaves as they begin to soften. Leaves cook faster if pulled apart. Remove the leaves to a platter to cool when they are done. Leaves are done when soft and yellowish and larger leaves will turn a dull green. Repeat with the second cabbage, adding more water if needed. Reserve 4 cups of water from the pot.
Step 4 In a large bowl, or a stand mixer fitted with a paddle attachment, combine meats and rice.
Step 5 Grate 4 carrots and saute in a large pan in 3 Tbsp oil and 1 Tbsp butter over med/high heat until softened then add 1 cup marinara sauce and saute another minute. Add mixture to rice and meats then add 2 eggs and 1 Tbsp salt and mix well.
Step 6 Large leaves: cut the leaves in half down the center along the stem and remove the tough stem portion. Place 2 Tbsp meat mixture at top of each leaf (or what you can fit since leaf sizes vary). Roll the leaf into a cone shape with the thicker part of the leaf at the base and stuff the wide, thinner leaves into the top. Arrange stuffed cabbage in layers in a dutch oven or heavy-bottomed soup pot.
Step 7 Small Leaves: slice off the raised surface of the tough center stem to flatten leaves for easier rolling. Fill each cabbage leaf with about 2 Tbsp meat mixture. Place the filling over the stem/ bottom portion. Roll like a burrito and stuff both ends in at the end.
Step 8 Heat 2 Tbsp olive oil in a skillet. Saute the remaining 2 grated carrots with 1 tsp of Mrs. Dash, cooking until soft. Add 1 Tbsp sour cream and 1 cup marinara sauce. Saute another minute and remove from heat.
Step 9 Pour Podliva sauce over stuffed cabbage and add enough reserved water to almost cover rolls (2 1/2 to 3 cups).
Step 10 Oven Method: If using a dutch oven (recommended method), cover and bake at 450° F for 20-25 min in the bottom third of the oven then reduce heat to 350°F and bake for 1 hour.
Step 11 Stovetop Method: If using a heavy-bottomed pot, bring to a light boil over medium heat, then reduce heat, cover and simmer for 40 min.
