Apparatus for manufacturing a product, in particular a cosmetic product, comprising a mixing machine comprising - a removable reception device comprising - a first reception location, configured to receive a first capsule containing a first formulation, and - a second reception location, configured to receive a second capsule containing a second formulation, the two capsules (3, 4) able to be fluidically coupled, - a first actuating face (8.1) of the reception device, authorising a transfer of pressure onto the first capsule, - a second actuating face (9.1) of the reception device, opposite the first, authorising a transfer of pressure onto the second capsule, - a coupling button (9.8), positioned on one of the actuating faces (8.1, 9.1), the coupling button (9.8) being movable or flexible, and configured to transmit a force to one among the first or the second capsule. - a support defining a reception housing, able to receive the reception device, - an actuating system, which is movable inside the reception housing to exert a pressure force on the reception device and/or on the first and/or the second capsule (3, 4), - a coupling mechanism, which is movable relative to the support and configured - in an insertion position, not to interfere with the insertion and removal of the reception device in the reception housing, - in a coupling position, to exert a force on the coupling button (9.8) to transmit a force to one among the first or the second capsule, so as to establish and/or maintain the coupling of the two capsules (3, 4). - a removable reception device comprising - a first reception location, configured to receive a first capsule containing a first formulation, and - a second reception location, configured to receive a second capsule containing a second formulation, the two capsules (3, 4) able to be fluidically coupled, - a first actuating face (8.1) of the reception device, authorising a transfer of pressure onto the first capsule, - a second actuating face (9.1) of the reception device, opposite the first, authorising a transfer of pressure onto the second capsule, - a coupling button (9.8), positioned on one of the actuating faces (8.1, 9.1), the coupling button (9.8) being movable or flexible, and configured to transmit a force to one among the first or the second capsule. - a first reception location, configured to receive a first capsule containing a first formulation, and - a second reception location, configured to receive a second capsule containing a second formulation, the two capsules (3, 4) able to be fluidically coupled, - a first actuating face (8.1) of the reception device, authorising a transfer of pressure onto the first capsule, - a second actuating face (9.1) of the reception device, opposite the first, authorising a transfer of pressure onto the second capsule, - a coupling button (9.8), positioned on one of the actuating faces (8.1, 9.1), the coupling button (9.8) being movable or flexible, and configured to transmit a force to one among the first or the second capsule. - a support defining a reception housing, able to receive the reception device, - an actuating system, which is movable inside the reception housing to exert a pressure force on the reception device and/or on the first and/or the second capsule (3, 4), - a coupling mechanism, which is movable relative to the support and configured - in an insertion position, not to interfere with the insertion and removal of the reception device in the reception housing, - in a coupling position, to exert a force on the coupling button (9.8) to transmit a force to one among the first or the second capsule, so as to establish and/or maintain the coupling of the two capsules (3, 4). - in an insertion position, not to interfere with the insertion and removal of the reception device in the reception housing, - in a coupling position, to exert a force on the coupling button (9.8) to transmit a force to one among the first or the second capsule, so as to establish and/or maintain the coupling of the two capsules (3, 4).