Methods and equipment for high-speed production and improving quality of liquid and solid organic fertilizers from organic solid wastes by (1) pre-treatment system, for purification, size reduction, and slurry generation, (2) HiSAP recycling system using slurry generated to form soluble compounds of easily degradable organics, and insoluble compounds of moderately degradable organics of mainly lignocellulosic materials, and production of organic radicals, reactive oxygen species including superoxygen, hydroperoxyl radical, hydrogen peroxide, and hydroxyl radical to thermally decomposing easily degradable organic and curing remaining compounds therein, and (3) product refining system to produce organic fertilizers, to enhance 7 major functions and capabilities including moisture absorption and holding, nutrients adsorption and holding, soil particles holding and conserving, soil air ventilation, soil water transmission, soil thermal insulation, and generation of plant growth stimulation agents, and pollution elimination as sterilizing pathogens and parasites, detoxicating toxic organics, and removing heavy metals therefrom.