Audrey's great answer to Sorting citations using \cites command in biblatex only redefines the \cites command, but adding support for other \...cites is surprisingly (or perhaps not surprisingly) easy.
For \parencites we only need two additional lines
\DeclareMultiCiteCommand{\cbx@parencites}[\mkbibparens]{\parencite}{\multicitedelim}
\DeclareMultiCiteCommand{\parencites}[\cbx@cite@wrapper\cbx@parencites]{\cbx@cite}{}
for \textcites analogously
\DeclareMultiCiteCommand{\cbx@textcites}{\textcite}{\multicitedelim}
\DeclareMultiCiteCommand{\textcites}[\cbx@cite@wrapper\cbx@textcites]{\cbx@cite}{}
MWE
\documentclass{article}
\usepackage[backend=biber%
,style=authoryear%
,maxcitenames=5%
,uniquename=full%
,sortcites%
]{biblatex}
\makeatletter
\DeclareMultiCiteCommand{\cbx@parencites}[\mkbibparens]{\parencite}{\multicitedelim}
\DeclareMultiCiteCommand{\parencites}[\cbx@cite@wrapper\cbx@parencites]{\cbx@cite}{}
\DeclareMultiCiteCommand{\cbx@textcites}{\textcite}{\multicitedelim}
\DeclareMultiCiteCommand{\textcites}[\cbx@cite@wrapper\cbx@textcites]{\cbx@cite}{}
% original definition of \cites
\DeclareMultiCiteCommand{\cbx@cites}{\cite}{\multicitedelim}
% new definition
\DeclareMultiCiteCommand{\cites}[\cbx@cite@wrapper\cbx@cites]{\cbx@cite}{}
% first pass saves keys, prenotes, postnotes
\DeclareCiteCommand{\cbx@cite}
{\csxdef{prenote:\thefield{entrykey}}{\thefield{prenote}}}
{\listxadd\cbx@savekeys{\thefield{entrykey}}}
{}
{\csxdef{postnote:\thefield{entrykey}}{\thefield{postnote}}}
% second pass outputs sorted citation list
\newrobustcmd{\cbx@cite@wrapper}[2]{%
\def\cbx@savekeys{}%
\def\cbx@citecall{#1}%
#2\cbx@sortkeysinit\cbx@citesort\cbx@citecall}
% internal list of saved keys => sorted argument list
\def\cbx@citesort{%
\def\do##1{%
\ifinlist{##1}{\cbx@savekeys}
{\protected@xappto\cbx@citecall{%
[\csuse{prenote:##1}][\csuse{postnote:##1}]{##1}}}
{}}%
\dolistloop{\cbx@sortkeys}}
% internal list of sorted entry keys
\def\cbx@sortkeysinit{%
\ifcsundef{blx@dlist@entry@\the\c@refsection @\blx@refcontext@context}
{}
{\global\csletcs{cbx@sortkeys}{blx@dlist@entry@\the\c@refsection @\blx@refcontext@context}}}
\def\cbx@sortkeys{}
\makeatother
\addbibresource{biblatex-examples.bib}
\begin{document}
\noindent
\parencite{wilde,sigfridsson}\\
\parencites{wilde,sigfridsson}\\
\parencites[vergl.][51]{wilde}[114]{sigfridsson}\\
\parencites{knuth:ct:c}{knuth:ct:b}{knuth:ct:a}
\noindent
\cite{wilde,sigfridsson}\\
\cite{wilde,sigfridsson}\\
\cites[vergl.][51]{wilde}[114]{sigfridsson}\\
\cites{knuth:ct:c}{knuth:ct:b}{knuth:ct:a}
\noindent
\textcite{wilde,sigfridsson}\\
\textcite{wilde,sigfridsson}\\
\textcites[vergl.][51]{wilde}[114]{sigfridsson}\\
\textcites{knuth:ct:c}{knuth:ct:b}{knuth:ct:a}
\end{document}
