To open and write an OGR formatted database layer on sqlite, use a *.ttkls connector file like:

If you export a dataset to such file and the database does not exit, a database will be created.

The file *.sqlite can also be simply dragged-and-dropped in the Editor window. In such situation, the first layer of the database will be opened.

Support for this with the Developer Kernel product requires the GDAL redistributable library.