\listfiles

\documentclass[french]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{babel}
\usepackage{datetime}
\begin{document}
\begin{description}
\item[Correct:] \today
\item[Not correct:] \shortdate\today
\item[Not correct:] \longdate\today
\end{description}
\end{document}
