Machine (1) for extracting puree, or fruit juice starting from vegetable or animal food, such as a rough extractor or a fine extractor. The machine (1) comprises essentially a cylindrical body (2) having an inlet (3) for the product to treat, an outlet (4) for a part of the product that can be used and an outlet (5) for another part of product to dispose of. The rotor (6) is wheeled to a motor (80) by a shaft (15). The product that is put in the cylindrical body (2) of the machine (1) is pushed by centrifugal force by a plurality of blades (20) of the rotor (6) to pass through a sieve (7) having holes (8) and a cylindrical or conical shape. The blades (20) of the rotor (6) comprise, in particular a first portion (21) having a first concavity and a second portion (22) having a second concavity opposite to the first.