We can use the Christian Werner's SQLite ODBC Driver
1. Compile LiteSync on your computer or use pre-compiled binaries. You can request them by e-mail for testing purposes.
2. Copy the sqlite3.dll to the Windows System folder. Generally it will be C:\Windows\System32 unless on 64-bit Windows using a 32-bit driver. In this case the path is C:\Windows\SysWOW64
Linux and Mac
Still not tested. You can follow the installation instructions on the ODBC driver using the one that links to the installed SQLite library instead of the static linked one.