A method for combusting paste-like material, particularly sewage sludge, in a plant having a combustion device, which has a combustion chamber, and having a feeding device, with which the combustion chamber of the combustion device is feeded with the material to be combusted, wherein the feeding device is designed as a pneumatic conveying and feeding device which has a progressive cavity pump and a pneumatic conveying pipe for conveying material plugs, wherein the progressive cavity pump has a stator, a rotor rotating in the stator, a suction housing, which is connected to the stator, having a filling opening and an outlet opening, wherein the pneumatic conveying pipe is connected to the outlet opening of the progressive cavity pump and the material to be conveyed is pressed as a compressed material strand into the conveying pipe using the progressive cavity pump, wherein a pressure medium supply is connected to the conveying pipe by means of at least one valve, using which pressure medium supply pressure pulses are injected into the conveying pipe at time intervals, wherein material plugs of limited length are separated from the compressed material strand using the pressure pulses and transported through the conveying pipe, and wherein the conveying pipe has an internal diameter (d) of 50 mm maximum and is connected to the combustion chamber of the combustion device for feeding the combustion device with the material plugs, wherein the pressure pulses have a pressure of at least 4 bar, wherein the material plugs are dispersed inside the conveying pipe or at the outlet end of the conveying pipe, and wherein the material plugs are pneumatically pushed out of the conveying pipe into the combustion chamber as dispersed material. wherein the feeding device is designed as a pneumatic conveying and feeding device which has a progressive cavity pump and a pneumatic conveying pipe for conveying material plugs, wherein the progressive cavity pump has a stator, a rotor rotating in the stator, a suction housing, which is connected to the stator, having a filling opening and an outlet opening, wherein the pneumatic conveying pipe is connected to the outlet opening of the progressive cavity pump and the material to be conveyed is pressed as a compressed material strand into the conveying pipe using the progressive cavity pump, wherein a pressure medium supply is connected to the conveying pipe by means of at least one valve, using which pressure medium supply pressure pulses are injected into the conveying pipe at time intervals, wherein material plugs of limited length are separated from the compressed material strand using the pressure pulses and transported through the conveying pipe, and wherein the conveying pipe has an internal diameter (d) of 50 mm maximum and is connected to the combustion chamber of the combustion device for feeding the combustion device with the material plugs, wherein the pressure pulses have a pressure of at least 4 bar, wherein the material plugs are dispersed inside the conveying pipe or at the outlet end of the conveying pipe, and wherein the material plugs are pneumatically pushed out of the conveying pipe into the combustion chamber as dispersed material.