By　employing　EQrot1　nonconforming　finite　element,　the　numerical　approximation　is　presented　for　multi-term　time-fractional　mixed　sub-diffusion　and　diffusion-wave　equation　on　anisotropic　meshes.　Comparing　with　the　multi-term　time-fractional　sub-diffusion　equation　or　diffusion-wave　equation,　the　mixed　case　contains　a　special　time-space　coupled　derivative,　which　leads　to　many　difficulties　in　numerical　analysis.　Firstly,　a　fully　discrete　scheme　is　established　by　using　nonconforming　finite　element　method　(FEM)　in　spatial　direction　and　L1　approximation　coupled　with　Crank-Nicolson　(L1-CN)　scheme　in　temporal　direction.　Furthermore,　the　fully　discrete　scheme　is　proved　to　be　unconditional　stable.　Besides,　convergence　and　superclose　results　are　derived　by　using　the　properties　of　EQrot1　nonconforming　finite　element.　What’s　more,　the　global　superconvergence　is　obtained　via　the　interpolation　postprocessing　technique.　Finally,　several　numerical　results　are　provided　to　demonstrate　the　theoretical　analysis　on　anisotropic　meshes.　Mathematics　subject　classification:　65N15,　65N30,　65M60.　©　2023　Global　Science　Press.　All　rights　reserved.