The game conflates a couple of words and should be more careful. "Raw Production" is the technical name for production based on population, asteroid mines, etc, with bonuses applied.
That gets divided up into the three categories, Wealth , Research, Manufacturing. Each of those have their own bonuses and multipliers. The Manufacturing gets further split in Social and Military and they can have their own bonuses.
As far as I am concerned, those should be the only words used in the descriptions and dialogue. It should be as strictly enforced in text as value names are strictly defined in code, the same string every time.
At times, the game will use "production" or "productivity" in a more colloquial sense, especially in flavor text. There, it most often seems to mean the total Manufacturing amount or a multiplier applied to the base Manufacturing. If it is in the bonus description, it usually means a bonus applied to the base Manufacturing. Sometimes, it seems to refer vaguely to the total of all categories with all their bonuses as the "productivity" of that planet. I find that a valid concept, but a poor word choice.
On the whole, I trust them when they say "raw production". Otherwise, it doesn't feel consistent, and I kinda have to remember case by case what they really mean. It annoys the wordsmith in me, but it is hard enough to get typos corrected, let alone getting vocabulary usage polished to my nitpicky standards.