Totally agree that Vitamin A is needed for egg production, but if the OP is feeding a nutritionally complete feed (they didn't say what they were feeding) then they wouldn't be needing to add any additional Vitamin A in the first place. If the OP is not feeding a nutritionally complete feed...
More daylight equals more eggs. I seriously doubt your spice mixture had anything at all to do with your increased egg production and it was only coincidental to the increasing daylight.