Multiple LaTeX bibliographies each in descending chronological order with reverse numbering - latex

Question

I'm working on my CV in moderncv latex document, and my plan is to have separate lists for
publications (type=article),
data sets (type=misc), and
presentations (type=inproceedings)
I'm looking for someone wiser to tell me, if it is indeed possible to have
three bibliographies in a single document,
each of them in descending chronological order (newest first), and
with reverse numbering?
i.e.
Section: Publications
[9.] Publication (newest)
[8.] Publication (second newest)
...
[1.] Publication (oldest)
Section: Data sets
[5.] Data set (newest)
[4.] Data set (second newest)
...
[1.] Data set (oldest)
Section: Presentations
[11.] Presentation (newest)
[10.] Presentation (second newest)
...
[1.] Presentation (oldest)
So far I have managed to make one single bibliography in descending chronological order with reverse numbering for my publications (thanks internet!). If I add other entries in the same bib file and separate them by keyword or type, the numbering of the separate lists is screwed up. In that case all entries are first put in descending chronological order and assigned numbers, but only then split into separate lists. Therefore the numbering in each list is not consecutive anymore.
Here's what I used in the preamble:
\usepackage[backend=bibtex,style=numeric,sorting=ydnt,url=false,doi=true,maxnames=120]{biblatex}
% Count total number of entries in each refsection
\AtDataInput{%
\csnumgdef{entrycount:\therefsection}{%
\csuse{entrycount:\therefsection}+1}}
% Print the labelnumber as the total number of entries in the
% current refsection, minus the actual labelnumber, plus one
\DeclareFieldFormat{labelnumber}{\mkbibdesc{#1}}
\newrobustcmd*{\mkbibdesc}[1]{%
\number\numexpr\csuse{entrycount:\therefsection}+1-#1\relax}
\addbibresource{bibliography.bib}
In the main document itself, I use
\nocite{*}
\printbibheading[title={Publications}]
\printbibliography[title={Peer-reviewed},heading=subbibliography, type=article]
\printbibliography[title={Data},heading=subbibliography, type=misc]
\section{Presentations}
\printbibliography[heading=none, type=inproceedings]
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