You seem to be asking for our opinions or logical deductions about your science fiction, starting with astronomically general concepts. But you haven't explained them in a way that gives enough details to make sense to me.
"Organisms believe their purpose is to evolve by reproduction ..."
All organisms, or just some? It seems like a peculiar belief, to me. Also evolution isn't just something that happens as a result of reproduction, so I don't really follow what you think you're saying.
"... to not wipe themselves out before every piece of matter is at its final place and or state - meaning there is no more use for any organism to interact with it."
What? Life may modify some matter, but on Earth life survives by having a rich diversity of species which together create self-sustaining ecosystems, where their modifications tend to create cycles that balance each other, so the whole thing may fluctuate but it doesn't just convert everything to garbage (that's what short-sighted for-profit industry tends to do, but not life in general).
"Would matter eventually be transformed into a final state in which it becomes useless to any form of life and its purpose to reproduce?"
No. Especially since you ruled out life not wiping itself out by being as stupid as human industrialists. Ordinary life tends to find a sustainable balance that involves recycling, and adapts when conditions get out of balance. Without intervention from too-smart-yet-unwise industrial activity, life might live as long as there's starlight and no excessive disasters such as a huge asteroid.