Combine the juice, Sucanat, and yeast in a bowl. Let sit for 5 minutes for the yeast to activate.
Combine the flours, cinnamon, and salt in the bowl of a stand mixer fitted with a dough hook. Add the oil, raisins, and yeast mixture on top of the dry ingredients. Knead for 6 minutes, adding extra whole wheat flour, 1 tablespoon (8 g) at a time, if the dough is too wet. The dough should be smooth and pliable. Alternatively, you can stir the ingredients, transfer the dough to a lightly floured surface, knead for about 8 minutes, until the dough is smooth and pliable, adding extra whole wheat flour, 1 tablespoon (8 g) at a time, if the dough is too wet. Shape into a ball.
Place in a bowl, cover tightly with plastic wrap, and let rise in a warm place until doubled in size, 1 to 11⁄2 hours.
Line a baking sheet with parchment paper or a silicone baking mat. Punch down the dough. Divide it into 6 equal portions and roll into circles. If the dough retracts when you try to shape it, give it 5 minutes to rest until it cooperates. Use your thumb to puncture a 1-inch (2.5 cm) hole in the center. Place on the prepared baking sheet.
Bring the water and baking soda to a boil in a large saucepan. Preheat the oven to 400°F (200°C, or gas mark 6). Lower the heat of the boiling water to a gentle boil. Add 2 bagels at a time and simmer for 1 minute, flipping each bagel halfway through. Scoop out the bagels with a slotted spoon. Place on the prepared baking sheet.
Repeat until all the bagels have been boiled.
Transfer to the oven and bake for 14 minutes, or until the bagels are a deep golden brown and sound hollow when the bottom is tapped. Let cool on a wire rack.