I have solution (due to "moewe") for my specific problem of sorting in BiBLaTeX and numbering.
BiBLaTeX Part 1 and BiBLaTeX Part 2
The both problems has been solved like below:
\documentclass[10pt,oneside,a4paper]{book}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[backend=biber,language=english, style=numeric, ,citestyle=numeric,giveninits=true,dashed=false,
bibstyle=authoryear,refsegment=chapter,backref=true]{biblatex}
\BiblatexSplitbibDefernumbersWarningOff
\DeclareSortingTemplate{none}{
\sort{\field{presort}}
\sort{\citeorder}
\sort{\intciteorder}
}
\DeclareSourcemap{
\maps[datatype=bibtex]{
\map{
\pertype{book}
\step[fieldset=presort, fieldvalue=aa]
}
\map{
\pertype{article}
\step[fieldset=presort, fieldvalue=bb]
}
\map{
\pertype{online}
\step[fieldset=presort, fieldvalue=cc]
}
\map{
\pertype{inproceedings}
\step[fieldset=presort, fieldvalue=dd]
}
}
}
\makeatletter
\input{numeric.bbx}
\makeatother
\DeclareNameAlias{author}{family-given}
\DeclareNameAlias{translator}{family-given}
\renewcommand*{\revsdnamepunct}{}
\defbibheading{subsubbibintoc}[\refname]{\subsection{#1}}
\defbibheading{subsubbibliography}[\refname]{\subsection{#1}}
\addbibresource{biblatex-examples.bib}
\begin{document}
\tableofcontents
\chapter{Chapter 1}
Lorem \autocite{sigfridsson}
ipsum \autocite{nietzsche:ksa1}
dolor \autocite{moraux}
sit \autocite{knuth:ct:c}~\autocite{spiegelberg}.
\printbibheading[title=Chapter bibliography,heading=subbibintoc]
\printbibliography[segment=\therefsegment,type=book,heading=subsubbibintoc,title={Books}]
\printbibliography[segment=\therefsegment,type=article,heading=subsubbibintoc,title={Articles}]
\printbibliography[segment=\therefsegment,type=online,heading=subsubbibintoc,title={Online}]
\printbibliography[segment=\therefsegment,type=inproceedings,heading=subsubbibintoc,title={Conferences}]
\vspace{5mm}
{\let\clearpage\relax \chapter{Chapter 2}}
Lorem~\cite{vizedom:related}
ipsum~\cite{gerhardt}
dolor~\cite{augustine}
sit~\cite{ctan}.
\printbibheading[title=Chapter bibliography,heading=subbibintoc]
\printbibliography[segment=\therefsegment,type=book,heading=subsubbibintoc,title={Books}]
\printbibliography[segment=\therefsegment,type=article,heading=subsubbibintoc,title={Articles}]
\printbibliography[segment=\therefsegment,type=online,heading=subsubbibintoc,title={Online}]
\printbibliography[segment=\therefsegment,type=inproceedings,heading=subsubbibintoc,title={Conferences}]
\vspace{5mm}
{\let\clearpage\relax \chapter{Chapter 3}}
Lorem~\cite{wassenberg},
ipsum~\cite{baez/online}.
\printbibheading[title=Chapter bibliography,heading=subbibintoc]
\printbibliography[segment=\therefsegment,type=book,heading=subsubbibintoc,title={Books}]
\printbibliography[segment=\therefsegment,type=article,heading=subsubbibintoc,title={Articles}]
\printbibliography[segment=\therefsegment,type=online,heading=subsubbibintoc,title={Online}]
\printbibliography[segment=\therefsegment,type=inproceedings,heading=subsubbibintoc,title={Conferences}]
\printbibheading[title=Global bibliography at the end,heading=bibintoc]
\printbibliography[type=book,heading=subsubbibliography,title={Books}]
\printbibliography[type=article,heading=subsubbibliography,title={Articles}]
\printbibliography[type=online,heading=subsubbibliography,title={Online}]
\printbibliography[type=inproceedings,heading=subsubbibliography,title={Conferences}]
\end{document}
Using the code I have 6 warnings"
It should be like that because it gives me the info that in some Chapter I didn't use articles for example etc. Majority of the users (including moewe - thank you again) just accept the warnings...me too...but I need a possibility to OFF such a warnings and simple:
\usepackage {silence}
\WarningFilter {biblatex}{Empty bibliography on input line 65.}
doesn't work because there is page number different in any time...etc.
My explanation why I need it. For instance in case when I know that I have 100% well done my job or I share my job with someone else and I have knowledge that there are a few acceptable warnings (my job is ready) I make the OFF all warnings and continue my job. So instead of keeping track of whether there are some new warnings among many of the old ones I just OFF them all and when appear again others I have an info that something WRONG is going with my job. The make OFF this specific warnings is a challenge for me then I ask about some help.

\WarningFilterdoes not need a full message, you can provide only the first part of the sentence and then it will match all warnings that start with that part. So\WarningFilter{biblatex}{Empty bibliography on input line}will suppress all six warnings at once. – Marijn Oct 25 '22 at 19:07\WarningFilter{biblatex}{Empty bibliography on input line}does not work.\WarningFilter{biblatex}{Empty bibliography}does work though, that may be a good compromise. – Marijn Oct 25 '22 at 20:43