A machine is provided having an engine system wherein at least one engine system component with an acoustic reflective surface is surrounded by a jacket configured to absorb sound from at least one sound producing device of the engine system. The jacket includes a sound absorbing material such as fibrous thermal insulation and an acoustic permeable covering between the acoustic reflective surface and the engine compartment of the machine. The acoustic permeable covering of the jacket may comprise a micro-perforated skin, whereby acoustic energy from the at least one sound producing device of the engine system can enter a volume defined by the jacket wherein it is absorbed by the sound absorbing material. A method of operating an engine system includes dissipating engine sound within a jacket surrounding an engine system component, the jacket including an acoustic permeable covering and a sound absorbing material positioned within the covering. An exhaust aftertreatment element may by thermally insulated with the jacket.