Sugar doesn't HAVE to be stored. Any excess sugar in the bloodstream is eliminated by an excretion of the pancreas called insulin.
Liver as glycogen
yes
No, liver does not contain sugar, instead it contains glycogen.
The organ in your body that stores extra sugar is the Liver.
Insulin causes the glucose in your blood to enter the cells for energy. It does not cause the liver to change glucose into anything. Your liver does, however, store extra sugar in the form of glucagon.
Insulin allows glucose(sugar) to enter the body's cells. Insulin also stimulates the liver to convert glucose to glycogen and store it for later use. The end effect is blood sugar is decreased.
Plants capture energy from sunlight by means of photosynthesis. Using the green pigment in their leaves called chlorophyll, which makes sugar. They store the sugar primarily as starch. Storage in the form of fat / oil is common too, especially in seeds. Animals mostly store excess sugar in body fat, and plants usually make fruit with excess sugar (as long as they have enough water).
Liver produces sugar
Plants store carbohydrates as sugars and starches...cellulose is also a complex structural sugar. Animals store glycogen (a type of complexed sugar) in the liver and muscles for fast energy and convert excess carbohydrate to fat.
The hormone that stimulates the release of sugar from the liver into the blood is called glucagon.
The liver can process a limited amount of sugar, primarily in the form of glucose. When the intake exceeds the liver's capacity to utilize or store it as glycogen, typically around 100 grams of sugar in a single sitting, the excess glucose is converted into fatty acids through a process called de novo lipogenesis. This conversion can lead to fat accumulation in the liver and contribute to conditions like fatty liver disease if sugar consumption is consistently high. Ultimately, individual responses can vary based on factors like metabolism, activity level, and overall diet.