About Apple's mobile phone locking the screen to display the lunar calendar?

First of all, you can try to press the blank space of the screen for a long time, and a small toolbar will appear, in which there will be a time display section and a time with the lunar calendar. Just click and put it in the blank space of the screen.

Another possibility is that your mobile phone does not support this situation, so it only displays the time component table of the solar calendar.