A process for producing dyed mixed fibres (D-MF), dyed mixed fibre yarns (D-MY) and/or dyed mixed fibre textile fabrics (D-MT) comprising the following steps a) to d) a) providing at least one polyester fibre comprising 80 to 99.5% by weight of at least one terephthalate polyester, 0.5 to 20% by weight of at least one aliphatic-aromatic polyester obtainable by polymerization of at least the following monomers: at least one aliphatic 1,w-diol, at least one aliphatic 1,ω-dicarboxylic acid compound and at least one aromatic 1,w-dicarboxylic acid compound, and 0 to 5% by weight of at least one additive, wherein the % by weight are based in each case on the total weight of components, and optionally, b) providing at least one further fibre different from the at least one polyester fibre, c) processing the at least one polyester fibre and the at least one further fibre to obtain mixed fibres, mixed fibre yarns and/or mixed fibre textile fabrics, wherein the mixed fibres, the mixed fibre yarns and the mixed fibre textile fabrics comprise the at least one polyester fibre and the at least one further fibre, and d) contacting the mixed fibres, the mixed fibre yarns and/or the mixed fibre textile fabrics simultaneously with at least two different dyes and at a temperature T D < 130°C to obtain dyed mixed fibres (D-MF), dyed mixed fibre yarns (D-MY) and/or dyed mixed fibre textile fabrics (D-MT). a) providing at least one polyester fibre comprising 80 to 99.5% by weight of at least one terephthalate polyester, 0.5 to 20% by weight of at least one aliphatic-aromatic polyester obtainable by polymerization of at least the following monomers: at least one aliphatic 1,w-diol, at least one aliphatic 1,ω-dicarboxylic acid compound and at least one aromatic 1,w-dicarboxylic acid compound, and 0 to 5% by weight of at least one additive, wherein the % by weight are based in each case on the total weight of components, and optionally, 80 to 99.5% by weight of at least one terephthalate polyester, 0.5 to 20% by weight of at least one aliphatic-aromatic polyester obtainable by polymerization of at least the following monomers: at least one aliphatic 1,w-diol, at least one aliphatic 1,ω-dicarboxylic acid compound and at least one aromatic 1,w-dicarboxylic acid compound, and at least one aliphatic 1,w-diol, at least one aliphatic 1,ω-dicarboxylic acid compound and at least one aromatic 1,w-dicarboxylic acid compound, and 0 to 5% by weight of at least one additive, wherein the % by weight are based in each case on the total weight of components, and optionally, b) providing at least one further fibre different from the at least one polyester fibre, c) processing the at least one polyester fibre and the at least one further fibre to obtain mixed fibres, mixed fibre yarns and/or mixed fibre textile fabrics, wherein the mixed fibres, the mixed fibre yarns and the mixed fibre textile fabrics comprise the at least one polyester fibre and the at least one further fibre, and d) contacting the mixed fibres, the mixed fibre yarns and/or the mixed fibre textile fabrics simultaneously with at least two different dyes and at a temperature T D < 130°C to obtain dyed mixed fibres (D-MF), dyed mixed fibre yarns (D-MY) and/or dyed mixed fibre textile fabrics (D-MT).