Left and right aligned text boxes

You could use two minipages, like this.

\documentclass{minimal}
\begin{document}
\begin{minipage}[t]{0.48\textwidth}
Figurative Unit (Optional)\\
Department of Blabla\\
University of Blabla
\end{minipage}
\hfill
\begin{minipage}[t]{0.48\textwidth}
\begin{flushright}
Chair of Mickey Mouse Science\\
Institute of Disneyland Studies\\
FSF Blabla
\end{flushright}
\end{minipage}
\end{document}

Try \normalsize\raggedleft in the second parbox.