A method for making a flexible packaging structure having a built-in open and reclose feature, comprising the steps of: (a) providing a first structure comprising a web of flexible material; (b) providing a second structure comprising a web of flexible material, separate from the first structure; (c) enhancing a thickness of the first structure in a discrete region thereof by applying a substantially all-solids electron-beam-curable polymer material in fluid form onto the discrete region, the discrete region corresponding to a desired location of the built-in open and reclose feature to be formed, the discrete region occupying a minor percentage of a total surface area of the first structure; (d) curing the polymer material by irradiating the polymer material with an electron beam, thereby forming an EB-cured polymer region; (e) forming a first score line through a thickness of the EB-cured polymer region and through the thickness of the first structure so as to create a first flap in the first structure, the first flap being movable out of a plane of the first structure to create an opening through the first structure; (f) forming a second score line in the second structure so as to create a second flap in the second structure, the second flap being movable out of a plane of the second structure to create an opening through the second structure, the second flap having a smaller footprint than the first flap; (g) applying adhesive to one side of one of the first and second structures and joining the first and second structures together with the adhesive to form a laminate, wherein the first and second flaps are placed in registration and adhesively joined together so that a marginal region of the first flap extends beyond a periphery of the second flap, and wherein the adhesive includes at least a pressure-sensitive adhesive that is positioned to adhere the marginal region of the first flap to an underlying surface of the second structure. (a) providing a first structure comprising a web of flexible material; (b) providing a second structure comprising a web of flexible material, separate from the first structure; (c) enhancing a thickness of the first structure in a discrete region thereof by applying a substantially all-solids electron-beam-curable polymer material in fluid form onto the discrete region, the discrete region corresponding to a desired location of the built-in open and reclose feature to be formed, the discrete region occupying a minor percentage of a total surface area of the first structure; (d) curing the polymer material by irradiating the polymer material with an electron beam, thereby forming an EB-cured polymer region; (e) forming a first score line through a thickness of the EB-cured polymer region and through the thickness of the first structure so as to create a first flap in the first structure, the first flap being movable out of a plane of the first structure to create an opening through the first structure; (f) forming a second score line in the second structure so as to create a second flap in the second structure, the second flap being movable out of a plane of the second structure to create an opening through the second structure, the second flap having a smaller footprint than the first flap; (g) applying adhesive to one side of one of the first and second structures and joining the first and second structures together with the adhesive to form a laminate, wherein the first and second flaps are placed in registration and adhesively joined together so that a marginal region of the first flap extends beyond a periphery of the second flap, and wherein the adhesive includes at least a pressure-sensitive adhesive that is positioned to adhere the marginal region of the first flap to an underlying surface of the second structure.