\documentclass{article}
\usepackage[english,ngerman]{babel}
\usepackage{csquotes}
\usepackage{acro}

% issue #136
\DeclareAcroProperty{foreign-short}

\RenewAcroTemplate{long-short}{%
  \acroiffirstTF{%
    \acrowrite{long}\acspace
    (%
      \acrowrite{short}%
      \acroifT{foreign}{, }%
      \acrowrite{foreign}%
      \acroifT{foreign-short}{, }%
      \acrowrite{foreign-short}%
      \acrogroupcite
    )%
  }
  {\acrowrite{short}}%
}

\RenewAcroTemplate[list]{description}{%
  \acroheading
  \acropreamble
  \begin{description}
    \acronymsmapF{
      \item [\acrowrite{short}\acroifT{alt}{/\acrowrite{alt}}]
        \acrowrite{long}%
        \acroifanyT{foreign,extra,foreign-short}{ (}%
        \acrowrite{foreign}%
        \acroifallT{foreign-short,foreign}{, }%
        \acrowrite{foreign-short}%
        \acroifanyT{foreign-short,foreign}{\acroifT{extra}{, }}%
        \acrowrite{extra}%
        \acroifanyT{foreign,extra,foreign-short}{)}%
        \acroifpagesT{%
          \acropagefill
          \acropages
            {\acrotranslate{page}\nobreakspace}%
            {\acrotranslate{pages}\nobreakspace}%
        }%
    }
    { \item \AcroRerun }
  \end {description}
}

\DeclareAcronym{dsgvo}{
  short = DSGVO,
  long = {Datenschutz-Grundverordnung},
  foreign = General Data Protection Regulation ,
  foreign-short = GDPR, % new line
  foreign-babel = english,
  foreign-format = \enquote
}

\begin{document}

\ac{dsgvo}

\printacronyms

\end{document}