NOVELTY - Producing lithium-polymer cells or lithium-ion cells, comprises: producing an anode material; applying the anode material on an anode conductor; producing a cathode material; applying the cathode material on a cathode conductor; extruding a separator comprising polyolefins and/or perfluoroelastomers, mineral type filler and aprotic solvent and electrolytes; molding the anode material, and the cathode material with the separator as an intermediate layer to a trilaminate; and rolling, contacting, and housing to a serviceable lithium-polymer cell or lithium-ion cells.    USE - The process is useful for producing lithium-polymer cells or lithium-ion cells.    ADVANTAGE - The produced lithium-polymer cells or lithium-ion cells allow high cycle number without loss of capacity even at elevated temperatures.    DETAILED DESCRIPTION - Producing lithium-polymer cells or lithium-ion cells, comprises: producing an anode material through tribochemical packing of lithium intercalatable synthetic or natural graphite, with lithium-organoborate, perfluorocarbonate, and magnesium oxide and subsequent addition of a polymer binder; applying the anode material on an anode conductor; producing a cathode material through tribochemical packing of coated lithium-iron-phosphate with lithium-organoborate and magnesium oxide and subsequently adding a polymer binder; applying the cathode material on a cathode conductor; extruding a separator comprising 20-40 wt.% of polyolefins and/or perfluoroelastomers, 30-40 wt.% of mineral type filler and 40-10 wt.% of aprotic solvent, preferably alkylcarbonate and 10 wt.% of electrolytes, preferably lithium hexafluorophosphate or its derivatives; and molding the anode material, and the cathode material with the separator as an intermediate layer to a trilaminate; and rolling, contacting, housing to a serviceable lithium-polymer cell or lithium-ion cell. INDEPENDENT CLAIMS are included for:    (1) the lithium-polymer cells produced by the above process; and    (2) the lithium-ion cells produced by the above process.