An object is anything that has shape and takes up space. A material is the substance of which an object is made. One object can be made of multiple materials (e.g. a pencil has wood, graphite, metal ferrule, and rubber eraser). Conversely, one material like wood can make chairs, tables, cricket bats, and doors.
Why classify? Grouping provides convenience (like organizing books in a library or groceries in a supermarket) and helps scientists study physical property patterns systematically.