Method by means of which caffeinated hot beverages, i.e. coffee beverages, are produced by an apparatus, in particular a beverage dispenser, for producing a caffeinated hot beverage, from water and a caffeinated raw material, in particular ground coffee, at least in a brewing unit by extraction, wherein the device at least comprises a) a water inlet of water with a first temperature T1 with a water pump at a first flow rate; b) a boiler to heat the water to a second temperature T2, which is higher than the first temperature T1; (c) a brewing unit for extracting the coffee beverage from ground coffee; d) at least one first measuring unit for determining at least one physical material property of the coffee beverage and/or a physical variable dependent thereon and optionally a process property; e) a control and/or regulating unit which is equipped for setting a control variable on the basis of the physical material property and/or the physical variable and optionally the process property, wherein the control and/or regulating unit comprises a data memory on which data records of setpoint values and/or setpoint value ranges are stored according to the temperature and/or a desired caffeinated beverage and/or a supplied coffee type, wherein the method further comprises at least the following steps: A) determining the physical material property and/or the physical variable and optionally the process property of the caffeinated hot beverage by at least the first measuring unit (4 or 24); B) carrying out a comparison by means of the control and/or regulating unit between an actual value and a setpoint value range of this physical material property and/or the physical variable and optionally the process property, wherein the control and/or regulating unit uses the data memory on which data records of setpoints and/or setpoint value ranges are stored according to the temperature and/or a desired caffeinated hot beverage and/or a supplied coffee type, C) wherein, if the actual value is outside the setpoint value range, at least one regulating and/or manipulated variable is adjusted in the method by means of the control and/or regulating unit such that a physical material property, in particular the aforementioned physical material property, of the dispensed caffeinated hot beverage is influenced in a controlled or regulated manner, and D) wherein during extraction, pressing forces are exerted on the ground coffee, wherein the manipulated variable is the motor power to apply the pressing forces. a) a water inlet of water with a first temperature T1 with a water pump at a first flow rate; b) a boiler to heat the water to a second temperature T2, which is higher than the first temperature T1; (c) a brewing unit for extracting the coffee beverage from ground coffee; d) at least one first measuring unit for determining at least one physical material property of the coffee beverage and/or a physical variable dependent thereon and optionally a process property; e) a control and/or regulating unit which is equipped for setting a control variable on the basis of the physical material property and/or the physical variable and optionally the process property, wherein the control and/or regulating unit comprises a data memory on which data records of setpoint values and/or setpoint value ranges are stored according to the temperature and/or a desired caffeinated beverage and/or a supplied coffee type, A) determining the physical material property and/or the physical variable and optionally the process property of the caffeinated hot beverage by at least the first measuring unit (4 or 24); B) carrying out a comparison by means of the control and/or regulating unit between an actual value and a setpoint value range of this physical material property and/or the physical variable and optionally the process property, wherein the control and/or regulating unit uses the data memory on which data records of setpoints and/or setpoint value ranges are stored according to the temperature and/or a desired caffeinated hot beverage and/or a supplied coffee type, C) wherein, if the actual value is outside the setpoint value range, at least one regulating and/or manipulated variable is adjusted in the method by means of the control and/or regulating unit such that a physical material property, in particular the aforementioned physical material property, of the dispensed caffeinated hot beverage is influenced in a controlled or regulated manner, and D) wherein during extraction, pressing forces are exerted on the ground coffee, wherein the manipulated variable is the motor power to apply the pressing forces.