Described is a process of producing a multilayer lignocellulosic composite comprising one or more lignocellulosic composite layers or a single-layer lignocellulosic composite, wherein a high-frequency electrical field is applied and wherein a binder comprising for hardening the binder via esterification at least one, two or more compounds having two or more hydroxy groups and additionally one, two or more compounds having two or more carboxyl groups is provided or prepared. Furthermore described is a lignocellulosic composite, which is preparable according to said process, a construction product comprising such lignocellulosic composite and the use of such lignocellulosic composite as a building element in a construction product. Moreover is described a binder, for producing a lignocellulosic composite.