Worship is a religious resource.
Once Solar Revolution has been researched, accumulated worship enhances production of many resources. This bonus is the primary reason for generating and accumulating faith and worship in the first place. Many, many mid-game resources (titanium, uranium, and unicorns in particular) can only be produced in reasonable quantities and periods of time with the assistance of a large worship bonus.
The following discussion about tooltips pertains to an older version of the game. Newer versions of the game do have the Solar Revolution bonus displayed in the tooltip.
For most resources (such as catnip, wood, or minerals) the production bonus can be easily verified by hovering over the production amount and reading the production tooltip that is displayed -- it will appear as "Solar Revolution: +25%", for example. However, for certain resources (such as iron and titanium) the production tooltip will simply read "Automation: +500 / sec" -- implying that no bonuses are applied. This assumption is only ''sometimes'' valid -- the worship bonus ''is'' applied to some automated production buildings.
To be exact, the function "getAutoProductionRatio" in the building.js file (lines 1301 - 1324) is responsible for adding most of the production increases to production -- in addition to the worship bonus, it also applies the happiness and paragon bonuses. The following buildings call the "getAutoProductionRatio" when calculating their production, and therefore include the worship bonuses (& happiness, and the paragon bonus):
The bonus is applied directly to the per tick commodity amounts that appear on the building tooltip, ''not'' the production tooltip— causing the confusion on this issue. Because the per tick per building production numbers are very small and the UI only shows two digits after the decimal point, it takes a large amount of worship to make a visible difference in the production numbers. With a sufficiently large Apocrypha bonus (> 10K %) the tooltips ''do'' change, and even if the bonus is too small to be reflected in the tooltip, it ''is'' applied.
Note that worship will not improve the production of the following resources: