Method for temperature-treating a manganese steel intermediate product whose alloy comprises: ∘ a manganese content (Mn), which lies in the following manganese range (MnB): 3 wt.% ≤ Mn ≤12 wt.%, ∘ a content of one or more alloying elements of the group: silicon (Si), aluminum (Al), nickel (Ni), chromium (Cr), molybdenum (Mo), phosphorus, sulfur, nitrogen, copper (Cu), boron, tungsten, cobalt (Co), ∘ an optional carbon content of less than 1 wt.%, ∘ an optional content of one or more microalloying elements, wherein the total content of the micro-alloying elements is less than 0.45 wt.%; and ∘ as a remainder an iron content (Fe) and unavoidable impurities, wherein the temperature-treating of the steel intermediate product comprises a first temperature treatment process (S.1) and a subsequent second temperature treatment process (S. 2), characterized in that - the first temperature treatment process (S.1) is a high-temperature process in which the steel intermediate product is subjected during a first holding period (Δ1) to a first annealing temperature which lies above a critical temperature limit (T KG), which is defined as follows: T KG = (856 - S K ∗ manganese content) degrees Celsius, wherein S K is a slope value, and wherein said slope value S K = 7.83 ±10%, preferably S K = 7.83, - the second temperature treatment process (S.2) is an annealing process in which the steel intermediate product is subjected to a second annealing temperature which is lower than the first annealing temperature. ∘ a manganese content (Mn), which lies in the following manganese range (MnB): 3 wt.% ≤ Mn ≤12 wt.%, ∘ a content of one or more alloying elements of the group: silicon (Si), aluminum (Al), nickel (Ni), chromium (Cr), molybdenum (Mo), phosphorus, sulfur, nitrogen, copper (Cu), boron, tungsten, cobalt (Co), ∘ an optional carbon content of less than 1 wt.%, ∘ an optional content of one or more microalloying elements, wherein the total content of the micro-alloying elements is less than 0.45 wt.%; and ∘ as a remainder an iron content (Fe) and unavoidable impurities, wherein the temperature-treating of the steel intermediate product comprises a first temperature treatment process (S.1) and a subsequent second temperature treatment process (S. 2), characterized in that - the first temperature treatment process (S.1) is a high-temperature process in which the steel intermediate product is subjected during a first holding period (Δ1) to a first annealing temperature which lies above a critical temperature limit (T KG), which is defined as follows: T KG = (856 - S K ∗ manganese content) degrees Celsius, wherein S K is a slope value, and wherein said slope value S K = 7.83 ±10%, preferably S K = 7.83, - the second temperature treatment process (S.2) is an annealing process in which the steel intermediate product is subjected to a second annealing temperature which is lower than the first annealing temperature. - the first temperature treatment process (S.1) is a high-temperature process in which the steel intermediate product is subjected during a first holding period (Δ1) to a first annealing temperature which lies above a critical temperature limit (T KG), which is defined as follows: T KG = (856 - S K ∗ manganese content) degrees Celsius, wherein S K is a slope value, and wherein said slope value S K = 7.83 ±10%, preferably S K = 7.83, - the second temperature treatment process (S.2) is an annealing process in which the steel intermediate product is subjected to a second annealing temperature which is lower than the first annealing temperature.