NOVELTY - The integrated system comprises an organic matter decomposition unit, a combustion unit, a cooling unit, and a synthesis unit. The organic matter decomposition unit comprises an anaerobic digester (110) with a culture of acidogenic and acetogenic bacteria and methanogenic microorganisms for production of biogas and digestate, and optionally presents a pyrolysis chamber containing biomass heated to a temperature of 450-550 degrees C to produce biochar and syngas directed to a combustion chamber (210). The anaerobic digester includes a first reservoir.    USE - The integrated system is useful for recycling an organic matter, which is useful for: treatment of organic wastes; power generation; carbon sequestration; production of biofuels; fertilizers, oxygen and biomass; for soil improvement; water desalination; and sewage treatment.    ADVANTAGE - The flexible and simple integrated system is capable of efficiently recycling the organic matter thus reproducing the natural carbon cycle and economically providing the production of benefits and/or by-products at each stage of the system.    DETAILED DESCRIPTION - The integrated system comprises an organic matter decomposition unit, a combustion unit, a cooling unit, and a synthesis unit. The organic matter decomposition unit comprises an anaerobic digester (110) with a culture of acidogenic and acetogenic bacteria and methanogenic microorganisms for production of biogas and digestate, and optionally presents a pyrolysis chamber containing biomass heated to a temperature of 450-550 degrees C to produce biochar and syngas directed to a combustion chamber (210). The anaerobic digester includes a first reservoir present in a upper portion for storage of the biogas and a second reservoir opposite to a feeding point to store digestate, contains termophile microorganisms, is maintained at a temperature of 50-52?C with a heat source received from the combustion unit, and is optionally replaced or works in parallel with a chamber containing organic wastes and a plasma converter (160) to convert the organic matter into syngas and slag. The combustion unit presents the combustion chamber with the heat source fed by fuel and oxygen. The cooling unit comprises a heat engine with the heat source comprised by heated exhaust gas received from the combustion unit, and a cold sink comprised by a refrigerant substance. The synthesis unit comprises a photobioreactor or a natural photosynthesis environment exposed to a light source and fed with carbon dioxide, water, fertilizers and nutrients as needed to produce the biomass and release oxygen. An organic residue deposited into the anaerobic digester is selected among algae provided by the synthesis unit, biomass, manure or organic waste. The organic matter is deposited in the digester through a grinder pump (120). A part of the digestate is supplied to a composting chamber containing worms of Eisenia foetida, Eisenia Andrei, Eisenia hortensis, and Enchytraeus buchhoizi ou Pontoscolex corethrurus. The composting chamber receives the biomass to produce humus and a liquid fertilizer and pulverized biochar to produce terra preta. A condenser is located between the pyrolysis chamber's gas exhaust and the combustion chamber to condense biooil that is stored in the reservoir. The biomass from cellulosic origin is used. The cellulosic biomass passes through a equipment for grinding and storage before the biomass is supplied to the pyrolysis chamber. The fuel of the combustion chamber comprises gases produced in the decomposition unit. The heat engine includes: a steam engine of Rankine type with a boiler or evaporator that transfers the heat energy stored in the exhaust gas to the refrigerant substance to heat the refrigerant substance progressively up to a temperature above its boiling point at the same time that the exhaust gas is progressively cooled with the refrigerant substance that is initially in liquid phase becoming gas that passes through a turbine generating mechanical energy; and a thermoelectric generator, where a temperature difference between the heat source and the cold sink is converted directly into electricity stored in a battery. The refrigerant substance in gas phase passes through the condenser, has its temperature reduced, returns to the liquid phase presenting a electric generator that converts the mechanic energy into electricity, and comprises cool saline water previously stored in a specific tank. The cool saline water in the heat engine is heated, distilled and stored in the specific reservoir, where a salt is stored in another specific reservoir. The combustion unit and the cooling unit are replaced by a system comprising an internal combustion engine using Otto, Atkinson or similar cycle coupled to a electric generator with a radiator or equivalent for a cooling function. The photobioreactor: has photosynthetic organisms with hydrocarbons present in a composition of the organisms that are separated, refined and transesterified in a processing equipment (430) and later stored in reservoirs and the remaining biomass is recycled in the anaerobic digester; and works in parallel or is replaced by a greenhouse to produce hydrocarbons and the biomass through the cultivation of plants.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic view of an integrated system for organic matter recycling.    Anaerobic digester (110)    Grinder pump (120)    Plasma converter (160)    Combustion chamber (210)    Processing equipment. (430)