Scrubber, usually plastic, sometimes metal and then into the dishwasher.
We do have a wash cloth and it does get some use but usually just wiping down cabinets and sinks. No sponges for dishes or cabinets. My wife read something that put her off them.
Wash rag. They dry faster and don’t promote as much bacterial growth like sponges. A brush may miss minute food debris. Brushes are fine to scrub the heavy stuff but I finish up with the rag. (Wash cloths or for bathing, washing your face, etc..) I keep an old tooth brush by the kitchen sink, too.