>We will have evolved to the needs of our environments

This literally means the environment needs something, and we evolve to meet it.

The sentence "Hank provides for the needs of his children" means Hank's children have needs, not Hank himself. Same thing here.

It may not be what you meant, but it is what you wrote.

Additionally, "need" is a vague term which does not capture the driving force behind evolution.

Imagine a species that has all its needs met. There is more than enough food for the current population, no predators, but the species is limited to one offspring every 10 years, and typically have 30 years when they can produce offspring.

A mutation occurs, and this new member of the species can have offspring every 5 years. In this case, even though all of the "needs" of the species are being met, that mutation will likely out-compete the trait of having offspring every 10 years. The species will evolve, even though all its "needs" were being met.