<p>We introduce the class of dominant Auslander–Gorenstein algebras as a generalisation of higher Auslander algebras and minimal Auslander–Gorenstein algebras, and give their basic properties. We also introduce mixed (pre)cluster tilting modules as a generalisation of (pre)cluster tilting modules, and establish an Auslander type correspondence by showing that dominant Auslander–Gorenstein (respectively, Auslander-regular) algebras correspond bijectively with mixed precluster (respectively, cluster) tilting modules. We show that every trivial extension algebra <i>T</i>(<i>A</i>) of a <i>d</i>-representation-finite algebra <i>A</i> admits a mixed cluster tilting module and show that this can be seen as a generalisation of the well-known result that <i>d</i>-representation-finite algebras are fractionally Calabi–Yau. We show that iterated SGC-extensions of a gendo-symmetric dominant Auslander–Gorenstein algebra admit mixed precluster tilting modules.</p>