Beverage or food brewing method and beverage or food brewing machine

A beverage or food brewing method, wherein the method comprises:

• producing powder through a grinding device and outputting the powder to a powder holder;
• when an amount of the powder in the powder holder reaches a set value, obtaining a first grinding time value T11 of the grinding device;
• according to the first grinding time value T11, obtaining a prolonged grinding time value T12 corresponding to the first grinding time value T11;
• continuing producing powder through the grinding device for a period of time determined by the prolonged grinding time value T12 and outputting the powder from the grinding device to the powder holder;
• wherein the powder enters the powder holder while the grinding device produces the powder, and the method further comprises:
• synchronously compressing the powder in the powder holder through a powder compressing device during the powder entering the powder holder, wherein the first grinding time value T11 is a current grinding time of the grinding device when the powder compressing device moves upward and reaches a first set position.