How does systemic inflammatory response syndrome trigger multi-organ failure?
I assume you’re talking about sepsis-induced multiple organ dysfunction syndrome. Sepsis is SIRS from suspected/confirmed bacterial infection. The complete mechanism of cellular injury in sepsis are still not completely understood, but there is considerable evidence that organ failure can result either from direct activity of inflammatory mediators, ischemia (from hypotension resulting from massive cytokine release), or aberrations in apoptosis. More specific mechanisms of organ dysfunction exist for specific organ systems, but such a discussion is outside the scope of Yahoo Answers. Depending on your degree of training, you might be better served checking PubMed for recent review articles or UpToDate or other such tertiary resources for more detailed summaries.