  (Partial) Gorenstein silting modules are introduced and investigated. It is
shown that for finite dimensional algebras of finite CM-type, partial
Gorenstein silting modules are in bijection with {\tau}_G-rigid modules;
Gorenstein silting modules are the module-theoretic counterpart of 2-term
Gorenstein silting complexes; and the relation between 2-term Gorenstein
silting complexes, t-structures and torsion pairs in module categories.
Furthermore, the corresponding version of the classical Brenner-Butler theorem
in this setting are characterised; and the upper bound of the global dimension
of endomorphism algebras of 2-term Gorenstein silting complexes over an algebra
A are also characterised by terms of the Gorenstein global dimension of A.
