LDS Tools for Android doesn't do that.
If you want to sync the old classic LUWS calendars, you're out of luck.
If you want to sync the new lds.org/calendar, You'll need to sync the new church calendar with your Google calendar (which in turn syncs to your phone).
Look at the details in the new calender and the
Workaround to fix calendar sync problems thread.
Have you searched the
Help Center? Try doing a Google search and adding "site:churchofjesuschrist.org/help" to the search criteria.
So we can better help you, please edit your
Profile to include your general location.