There are some kinda-ish modern, more nuanced versions of Marxism that may be more successful than orthodox variants in that. The Frankfurt School had some quite interesting developments there, such as incorporating Freudian psychology through Lacan, but that is itself already very dated by decades. Also, its approach requires abandoning or inverting many premises of orthodox Marxism, such as, for example, by accepting that in many cases it's the superstructure that determines the infrastructure, not the other way around, so they exist in a tensional relation, which leads adepts of orthodox Marxism to call Frankfurtians revisionists and not to want to hear much more.
So I suppose a fully modernized Marxism incorporating everything modern human sciences has to offer could do reasonably well, but it'd be extremely different from both old school Marxism, as well as from the Frankfurtian revisions.