Sprinkle the saffron over 2 cubes of ice and let it melt. This will be your bloomed saffron.
Place the sour cherries and sugar in a saucepan over medium heat and cook for 15 minutes until the cherries have softened but have kept their shape. Remove them from the sauce pan and simmer the syrup for another 10 minutes to thicken. Turn the heat off and set it all aside.
Wash the basmati rice a few times to get rid of the excess starch. Bring a pot of water to boil and add the salt. Add the rice and boil for 6 to 7 minutes. You'll know the rice is ready once you can break it between your fingers but the middle is still firm. Drain and quickly rinse with running cold water to stop the cooking process.
Pour the oil into the same pot and place the lavash pieces at the bottom of the pot. Add 1/3 of the rice to the pot and top it with 1/2 sour cherries as well as 4-5 tablespoons of the syrup. Add another 1/3 of the rice and the remaining sour cherries and 4-5 tablespoons syrup followed by the remainder of the rice and another 3 tablespoons of the syrup. With the end of a wooden spoon, poke 5 holes into the rice for the moisture to escape.
Melt the butter with 1/2 cup water in a saucepan over medium heat. Pour it all over the rice and around the edges. Wrap the lids in a kitchen towel and place it on the pot. Cook over medium low heat for 30 to 40 minutes until the rice is fluffy and tender.
Meanwhile, make the meatballs. Grate the onion and squeeze it well to get out all the excess juice. Discard the juice and mix the grated onion with the ground beef, salt, pepper and turmeric, Make small meatballs about 1 inch in diameter. Heat the oil in a large nonstick pan over medium heat and sear the meatballs for about 10 minutes so they're fully cooked and golden brown on all sides.
Once the rice is ready, turn the heat off and let it sit for 10 minutes. Gently fluff it, reserve 1/2 cup of the rice, mix it with bloomed saffron and transfer the rest to a serving platter. Arrange the meatballs on the platter and top the sour cherry rice with saffron flavored rice, slivered almonds and pistachios.