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Bib item type inbook is ignored. We need a filter for that, merging with incollection.

additionals/references.tex:

%!TEX root = ../main.tex

\addchap{Quellenverzeichnis}

\defbibheading{book}{\section*{Monographien}}
\defbibheading{article}{\section*{Beiträge in Zeitungen und Zeitschriften}}
\defbibheading{incollection}{\section*{Beiträge in Sammelbänden}}
\defbibfilter{incollection}{
    type=incollection or
    type=inbook
}
\defbibheading{paper}{\section*{Papers}}
\defbibfilter{paper}{
    type=inproceedings or
    type=thesis or
    type=report
}
\defbibheading{online}{\section*{Internetquellen}}
\defbibheading{jurisdiction}{\section*{Rechtsprechung}}
\defbibheading{company}{\section*{Unternehmensunterlagen}}
\defbibheading{uncited}{\section*{Unzitierte Quellen}}
\defbibcheck{uncited}{
  \ifciteseen
    {\skipentry}
    {}
}

\setlength\bibitemsep{1.5\itemsep}
\setlength{\bibhang}{2em}

\begingroup
\sloppy

\printbibliography[heading=book,type=book]
\printbibliography[heading=article,type=article]
\printbibliography[heading=incollection,filter=incollection]
\printbibliography[heading=paper,filter=paper]
\printbibliography[heading=online,type=online]
\printbibliography[heading=jurisdiction,keyword=jurisdiction]
\printbibliography[heading=company,keyword=company]
%\printbibliography[heading=uncited,check=uncited]
%\nocite{*}

\endgroup