The cabinet piece that looks like a drawer but has no handles and cannot open is called a "false drawer front" or a "decorative drawer front." It is purely a cosmetic element designed to maintain the consistent appearance of a set of drawers in a cabinet layout. False drawer fronts are typically used to maintain a uniform aesthetic when there are cabinets that don't require functional drawers, such as in front of sink cabinets where plumbing might interfere with the installation of real drawers.
The piece that attaches the false drawer front to the cabinet and holds it in place is called a "drawer front bracket" or "false front mounting bracket." These brackets secure the false drawer front to the face of the cabinet frame, providing stability and a seamless appearance. The bracket is usually hidden behind the false drawer front, contributing to the illusion that it is a functional drawer.
These components are commonly found in kitchen and bathroom cabinets to create a cohesive and visually appealing design while optimizing the available storage space.