An assembly structured to maintain a bag in an expanded orientation when inserted therein, said assembly comprising: a base formed of a foldable material and including an inner surface and an outer surface, said base further including at least one primary section and at least one secondary section (20, 21, 22) disposed in adjacent relation to one another, said base, including said at least one primary section and said at least one secondary section (20, 21, 22), being formed of a compressible and expandable material, said at least one primary section and said at least one secondary section (20, 21, 22) extending along a length of said base in laterally adjacent relation to one another, at least one longitudinal fold line extending between said at least one primary section and said at least one secondary section (20, 21, 22) in interconnecting relation thereto, at least one transverse fold line extending through said at least one primary section and said at least one secondary section (20, 21, 22) in interconnecting relation to adjacent portions of said at least one primary section and adjacent portions of said at least one secondary section (20, 21, 22), a plurality of inner connectors (34, 36) disposed on said inner surface in a first predetermined array and a plurality of outer connectors disposed on said outer surface in a second predetermined array, and said first and second predetermined arrays of connectors (34, 36, 38) cooperatively configured to removably connect said base into any one of a plurality of folded, operative orientations, at least some of said plurality of folded, operative orientations at least partially defined by a plurality of portions of said outer surface and a plurality of portions of said inner surface being folded in confronting relation to themselves. a base formed of a foldable material and including an inner surface and an outer surface, said base further including at least one primary section and at least one secondary section (20, 21, 22) disposed in adjacent relation to one another, said base, including said at least one primary section and said at least one secondary section (20, 21, 22), being formed of a compressible and expandable material, said at least one primary section and said at least one secondary section (20, 21, 22) extending along a length of said base in laterally adjacent relation to one another, at least one longitudinal fold line extending between said at least one primary section and said at least one secondary section (20, 21, 22) in interconnecting relation thereto, at least one transverse fold line extending through said at least one primary section and said at least one secondary section (20, 21, 22) in interconnecting relation to adjacent portions of said at least one primary section and adjacent portions of said at least one secondary section (20, 21, 22), a plurality of inner connectors (34, 36) disposed on said inner surface in a first predetermined array and a plurality of outer connectors disposed on said outer surface in a second predetermined array, and said first and second predetermined arrays of connectors (34, 36, 38) cooperatively configured to removably connect said base into any one of a plurality of folded, operative orientations, at least some of said plurality of folded, operative orientations at least partially defined by a plurality of portions of said outer surface and a plurality of portions of said inner surface being folded in confronting relation to themselves.