Glaz's existence problem for a non-Noetherian Cohen–Macaulay notion

The paper works with commutative rings and modules, and uses $R^G$ for the subring of elements of a ring $R$ fixed by a group $G$ of automorphisms. A ring is coherent when its finitely generated ideals are finitely presented, and a coherent ring is regular when it has the corresponding regularity property.

Glaz's existence problem. Can one define non-Noetherian Cohen–Macaulay rings so that: (i) the definition agrees with the usual definition for Noetherian rings; (ii) coherent regular rings are Cohen–Macaulay; and (iii), whenever $R$ is a coherent regular ring, $G$ is a group of automorphisms of $R$, there is an $R^G$-module retraction

$$\rho:R\longrightarrow R^G,$$

and $R$ is finitely generated as an $R^G$-module, the invariant ring $R^G$ is Cohen–Macaulay?

This is Glaz's problem for extending Cohen–Macaulayness beyond the Noetherian setting while retaining the classical case, including coherent regular rings and a Hochster–Eagon-type invariant-ring theorem. The supplied text does not state whether the problem has been resolved.