Because of a reason vs for a reason
When people say "Everything happens for a reason" it sounds like that "reason" is in the future. Is my interpretation wrong?
If not, how do I clearly state that "Everything happens due to cause and effect" in a more simple way? Hence it would stick to people's minds easily.
Clarification on the opening question: People are using it to convey the meaning of "Everything happens for some purpose"
Solution 1:
"Everything happens for a reason" is a saying that implies predetermination, and fatalism. However, the preposition for doesn't necessarily imply a future. It's the connotation behind the saying that implies that an end will have happened because it was fated to.
If you're not a fatalist, and this isn't what you intend to convey, you could say that everything is connected, and every effect must, then, have (or have had) a preceding cause.