A multi-layer structure comprising: a) at least one layer comprising a polyolefin component comprising i) 60 to 94 weight percent of a first component selected from the group consisting of ethylene homopolymer, ethylene copolymer, polypropylene homopolymer, polypropylene copolymer, and combinations thereof ii) 0-35 weight percent of a functional polymer component, and iii) 1-35 weight percent of a compatibilizer component comprising an anhydride and/or carboxylic acid functionalized ethylene/alpha-olefin interpolymer having a melt viscosity (177° C.) less than, or equal to, 200,000 cP and a density from 0.855 to 0.94 g/cc; b) at least one tie layer comprising maleic-anhydride grafted polymer with a melt index of less than 50 dg/min, wherein the tie layer does not contain the compatibilizer component; and c) at least one polar layer comprising a polar polymer, is disclosed.