The invention relates to a multi-layer molded body that contains lignocellulose, comprising A) a middle layer or a plurality of middle layers, which contain(s) particles that contain lignocellulose and which can be obtained by using a binder (a), and B) an outer layer or a plurality of outer layers, which contain(s) particles that contain lignocellulose and which can be obtained by using a binder (b), wherein the binder (a) is selected from the group comprising (a1) formaldehyde resins and (a2) an organic isocyanate having at least two isocyanate groups; wherein the binder (b) contains the following components: an aqueous component (I) containing (i) a polymer A, which is constructed from the following monomers: a) 70 to 100 wt % of at least one ethylenically unsaturated monocarboxylic acid and/or dicarboxylic acid (monomer(s) A1) and b) 0 to 30 wt % of at least one additional ethylenically unsaturated monomer that differs from the monomers A1 (monomer(s) A2), possibly (ii) a low-molecular-weight cross-linking agent having at least two functional groups, which are selected from the group comprising hydroxy, carboxylic acid and derivatives thereof, primary, secondary, and tertiary amine, epoxy, and aldehyde, an organic isocyanate having at least two isocyanate groups as component (II), and possibly a component (III) as an aqueous dispersion containing one or more polymers M, which are constructed from the following monomers: a) 0 to 50 wt % of at least one ethylenically unsaturated monomer that contains at least one epoxide group and/or at least one hydroxyalkyl group (monomer(s) M1), and b) 50 to 100 wt % of at least one additional ethylenically unsaturated monomer that differs from the monomers M1 (monomer(s) M2), and possibly common additives as component (IV), and wherein at least one middle layer (A) contains expanded plastic particles and possibly at least one outer layer B) contains expanded plastic particles, and the binder (b) possibly contains a formaldehyde scavenger.