When Cayth dies, its persist ability triggers, returning it from your graveyard to the battlefield with a -1/-1 counter on it.
When Cayth enters, its fabricate ability triggers, putting a +1/+1 counter on it.
Resolve the Shilgengar ability.
Repeat.
This engine relies on a clever interplay of recursion, counters, and artifact generation to loop infinitely. Shilgengar, Sire of Famine acts as the sacrifice outlet that pays off your graveyard, while Isilu, Carrier of Twilight (the back face of Eirdu, Carrier of Dawn) provides the crucial persist ability that keeps your creatures coming back with each trip to the graveyard. Cayth, Famed Mechanist is the engine's heartbeat, granting fabricate 1 to your team so that every time it returns, it enters with a +1/+1 counter that immediately cancels out its -1/-1 counter, resetting its persist ability for the next loop.