A landscape edging system having an edging strip co-extruded from two different materials to form a core layer and a thin shell layer, with the shell layer generally encapsulating the core layer. The core layer can be made from relatively lower cost, quality and weight materials, such as re-grind or recycled plastic materials, and the shell layer can be made from higher quality materials that are selected for durability, appearance and resistance to corrosion, mildew and impacts. The core layer has one or more longitudinally disposed channels that receive a connector configured to connect adjacent edging strips together to form a boundary between landscaped and/or non-landscaped areas. The connector has a sleeve portion with an internal body member having extending portions configured to interact with the interior wall of the channels. A stake can be driven through the edging strip to secure it in place on the ground.