Prepare the Cabbage: Choose a fresh, crisp cabbage head. Remove outer leaves and shred it thin using cabbage grater. If you do not have cabbage grater you can slice it thin with knife.
Pill carrots and shred them in grator.
Put shredded cabbage and carrots to a big mixing bowl.
Add salt and sugar to the mixing bowl.
Add water to the bowl and mix all ingredients together
Massage and squeeze everything with your hands. This helps the cabbage and carrots to release juices.
Put prepared mixture to the canning jars. Push it down, It should be covered by juices released from massaging. If you have weighted lids put them on top of the cabbage. If not, Just make sure mixture is pressed down and covered by liquid.
Put prepared mixture to the jars and cover them with lids, but do not tight them, leave room for air. Or you can cover with piece of fabric and tight it with rubber band. This allows air to flow in and out of the jar, but prevents dust or insects from getting into the jar.
Keep the sauerkraut away from direct sunlight and at a cool room temperature. Leave Jars on counter top for 3-5 days. If you like it be very sour you can wait longer. But It should be ready after day 3.
Every day poke the sauerkraut with wood stick, or fork, It will release some air bubbles which is helps fermentation process. Also press down shredded vegetables if they float, they should be underneath the liquid.
When you like the taste after 3-5 days, put regular lid to the mouth of the jar and store it in refrigerator.
Sauerkraut can be stored in refrigerator up to 4 months. Always taste it and smell before eating.