Page header with references at end of each chapter

Question

I am using the scrreprt class and I am trying to modify the page header in my document.

I am generating a twosided document; chapters start on even pages. On even pages (except first page of chapter), the page header shall display the chapter title and the page number; on odd pages, the page header shall display the section title and the page number.

I have implemented these requirements in my document.

However, there is one situation with which I am not satisfied yet. I am generating a bibliography at the end of each chapter. For odd pages, the page headers behave just as I want them to, showing the "Section Title". However, if a bibliography starts on an even page, the page header says "References" instead of "Chapter Title".

I would like this to be fixed: "References" shall only appear in the page header on the succeeding pages (after the first) of the bibliography. It seems as if every bibliography is treated as a chapter of its own. How can I work on this?

Please note that I want to stick to the KOMA-class scrreprt.

EDIT: I changed the code according to the suggestions (using refsegment instead of refsection). This is my second edit.

\documentclass[12pt, twoside, openright, chapterprefix, numbers=noenddot]{scrreprt}

\usepackage[left=2cm,right=2cm,top=2cm,bottom=2cm,headheight=15pt,includeheadfoot]{geometry}
\usepackage[automark,headsepline=off]{scrlayer-scrpage} 

\usepackage[ngerman]{babel} % deutsche Trennregeln
\usepackage{lmodern}    % fixes bug with \usepackage[T1]{fontenc}; ändert Schriftart zudem in Latin Modern
\usepackage[T1]{fontenc}   % für europäische Autoren ratsam; % wichtig für Trennung von Wörtern mit Umlauten
\usepackage[utf8]{inputenc}
\usepackage{textcomp}

\usepackage{etoolbox}
\usepackage{patchcmd}
\usepackage{xpatch}
\usepackage{lipsum}

\usepackage{hyperref}           
\hypersetup{colorlinks=true, linktocpage=true,  linktoc=all,    
    %linkcolor=beierblau, 
    citecolor=blue, filecolor=blue, urlcolor=blue, breaklinks=false,
    bookmarksopen=true, colorlinks, linkcolor = black}
\usepackage[all]{hypcap}        % needed to help hyperlinks direct correctly;
\usepackage[numbered]{bookmark}


%%%% Change Chapter Prefix
\setkomafont{chapterprefix}{\huge} % Default is \LARGE

%%% No Spacing Between Chapter Title and Prefix
\RedeclareSectionCommand[innerskip=0pt]{chapter} % <--- Vary distance here (Thanks @esdd!)

%%% Subsubsections kursiv erscheinen lassen + Abstand zwischen Überschrift/Nummerierung
%\usepackage[noindentafter]{titlesec}
%\titleformat{\subsection}{\sffamily \bfseries \large }{\thesubsection}{1em}{}   % auch NUmmerierung kursiv
%\titleformat{\section}{\sffamily\bfseries\Large}{\thesection}{1em}{}
%\titleformat{\chapter}{\sffamily \Huge\bfseries}{\chaptername\ \thechapter}{0pt}{\vskip 0pt\raggedright}   %\vskip 20pt\raggedright


%%% Page header: No Dot after Numbering & Spacing between Numbering and Title in page headers
\renewcommand*\chaptermarkformat{\thechapter \quad}
\renewcommand*\sectionmarkformat{\thesection \quad}

\renewcommand*{\headfont}{\normalfont}

%%% PAGER HEADERS
\renewcommand*\chapterpagestyle{plain.scrheadings}   % default=empty

\lehead{\pagemark}  % left even head
\rehead{\headmark}  % right even head   %leftmark = chapter

\lohead{\rightmark} % left odd head     %rightmark = section
\rohead{\pagemark}  % right odd head


%%% References
\usepackage[style=authoryear, backend=biber,
refsegment=chapter % benutze automatisch Kapitel als Biobliographie-Abschnitte...
]{biblatex}
\ExecuteBibliographyOptions{firstinits=true,maxcitenames=2,maxbibnames=999,isbn=false,doi=false,url=false,labeldate=true,uniquelist=minyear}

\RequirePackage{filecontents}
\begin{filecontents}{\jobname.bib}
    @book{Giancoli,
        Author    = {Douglas C. Giancoli},
        Publisher = {Pearson},
        Title     = {Physics for Scientists \& Engineers},
        Year      = {2014},
        Date-Added = {2015-10-05 12:23:12 +0000},
        Date-Modified = {2015-10-05 12:23:50 +0000},
    }
\end{filecontents}
\addbibresource{\jobname.bib}


\defbibheading{subbibintoc}[\refname]{\addsec{#1}}

%%% DOCUMENT

\begin{document}


\chapter{Test-Kapitel}
    \lipsum

\section{Test-Section}
    \lipsum
Some \cite{Giancoli} text \autocite{Giancoli}
    \lipsum
    \lipsum 

%\printbibliography[segment=\therefsegment]
\printbibliography[segment=\therefsegment, heading=subbibintoc, title={Literatur}]  
\clearpage


\end{document}

Answer 1

You want

\defbibheading{subbibintoc}[\refname]{\addsec{#1}}

Simply put the code into your preamble.

The default for heading=subbibintoc is

\defbibheading{subbibintoc}[\refname]{%
  \addsec{#1}%
  \markboth{#1}{#1}}

and includes a \markboth{#1}{#1} that you don't want.

This is related to https://github.com/plk/biblatex/issues/627, where Johannes mentioned that the KOMA heading settings probably need an overhaul.

Note also that titlesec should not be used with the KOMA classes.