\begin{filecontents}[overwrite]{foo-test.sty}
\RequirePackageWithOptions{bar-test}
\end{filecontents}
\begin{filecontents}[overwrite]{bar-test.sty}
\DeclareOption {quiet} {}
\ProcessOptions*
\end{filecontents}
\documentclass{article}
\usepackage{kvoptions-patch}
\usepackage[quiet]{foo-test}
\begin{document}
Test
\end{document}