The invention provides a layered structure comprising at least two layers: A) a first layer A, formed from a composition A, comprising a polyurethane; and B) a second layer B, formed from a composition B, comprising at least one functionalized polymer B comprising the following: i) at least one polymerized monomeric unit comprising a functional group selected from the group consisting of the following: a) an acid group, b) an anhydride group, c) a primary or secondary amine group, and d) combinations thereof; or ii) at least one reacted functionalization agent comprising a functional group selected from the group consisting of the following: e) an acid group, f) an anhydride group, g) a primary or secondary amine group, and h) combinations thereof; or iii) combinations thereof; and wherein the functionalized polymer B has a number-average molecular weight greater than 1,000 g/mole, and/or a melt index (I2) less than, or equal to, 2500 g/10 min.