According to Osho, 'existence takes care' means we are inseparable from the whole, which continually sustains and harmonizes us—breath by breath, heartbeat by heartbeat—without our effort. By becoming aware, especially through vipassana, we directly sense this constant support. From this experiential seeing arises trust—not belief—which relaxes anxiety, enables let-go, and opens the space for witnessing.
It means life is already looking after you, like breathing happens on its own, and noticing this helps you relax and trust.