A mould 30 for manufacturing a soundproofing assembly for a motor vehicle, comprises first and second mould halves 32, 34 defining a cavity 46 which receives a first layer 14 of thermoplastic material, and a free part 46 which receives a foam precursor to form an absorbent layer; wherein the second mould half comprises a protruding rib 56 extending along an outer contour of the inner space. A method for manufacturing using the mould comprises closing the mould, gripping the first layer between the rib and the first mould half, injecting a foam precursor into the free part to form the absorbent layer. When closed, the rib is pressed into the first layer to close the inner space hermetically and avoiding leaks. A resilient layer may be formed on the opposite side of the first layer by injecting a foam precursor in a second mould or by fastening a resilient felt layer. A soundproofing assembly for a vehicle comprises a first layer with a heavy mass with an absorbent layer comprising foam on one face and a resilient layer on the other, wherein the first layer comprises a circumferential groove on the face receiving the resilient layer.
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