A novel machine, acronymed HEVSTOW (High Efficiency Vertically Stacked vermicomposting system for Treating Organic Waste), of which a patent has recently been granted, is described. The machine is based on the paradigm of high-rate vermicomposting earlier developed by the authors. It makes it possible to rapidly vermicompost not only animal manure but also substrates like phytomass and paper waste which the conventional vermireactors are not able to process without elaborate pre-treatment and/or augmentation of animal manure. The machine also makes it possible to simultaneously vermicompost different substrates as also use different species of earthworms without one batch influencing the other. The applicability of the machine is demonstrated by its application in simultaneous yet independent processing of paper waste and a weed, each with two species of earthworms.