The src folder of python's litesync module contains the code for the wrapper
SQLite library of iOS and Android have the name sqlite3, while the LiteSync library has the name litesync. So it may not have any conflict.
On the download page you can find the binaries for Android and iOS.
There are 4 different options for Mobile on that page. There are sample projects for every one of them, so you can see the code. Some of them also include pre-compiled binaries.
You must discover in which folder is the python builder searching for the litesync library, and then put the native library there. Or check if there is a way to set up the path.
Were you able to make it work on Android?