The communicative structure, according to the Frankfurt School, that reflects the social order is called

According to the Frankfurt School, the communicative structure that reflects the social order is called culture.

In their critical theory culture is not neutral but mirrors and reinforces the prevailing relations of power and economic order.

The culture industry, in their analysis, transmits the dominant social order through its standardised cultural products.

Custom refers to habitual, traditional practices and is not the Frankfurt School's term for the order-reflecting communicative structure.

Public sphere, associated with Habermas, names an arena of rational debate rather than the structure that mirrors the social order in this sense.

Convention denotes an agreed rule or usage and does not capture the broad, order-reflecting communicative whole the school called culture.