Certified GKH Gardening Expert
It can be difficult to pin down why one or the other sex cone appears more, but it is usually to an environmental trigger. This can be excessive heat or cold, improper humidity, or soil moisture, among many things.
This will usually resolve itself over time, though.
Here is an article that will help you with the general care of the trees: https://www.gardeningknowhow.com/ornamental/trees/cypress/lemon-cypress-care.htm