Believe it or not, with complex documents and lots of packages included, I got much better results with LaTeX2HTML than with LaTeX2RTF, Pandoc or TeX4ht.
This will generate a folder with the same texfile name, so you'll be able to convert the generated HTML to ODT:
libreoffice --headless --convert-to odt:"OpenDocument Text Flat XML" texfile/index.html
This will produce a index.odt file. Take a look at this answer to check how to use LibreOffice's convert filters.
Edit from comment discussion:
Although the method above works, it is very disappointing that the only way I found to generate a trully reliable document is using the PDF output from LaTeX on Adobe Acrobat Pro.
Best Answer
Just open the document with libre office and choose Export as PDF...:
For a command line solution there is unoconv that converts files from the command line:
Note: unoconv depends on Libre Office.