tl;dr
Dump \memorydump (which doesn't interact optimally with reledmac) and use \pausenumbering and \resumenumbering instead (see reledmacmanual §5.2.7 and my answer here).
Your use of \memorydump appears functionally equivalent to the very skimpy example in the "manual" part of the reledpar documentation (§7.2). In fact, the "official" example doesn't compile either. The bad form consists in removing an \endnumbering before closing Leftside which, however, is what the manual shows us to do. It also tells us to place a \memorydump first thing in the next Leftside environment.
What does \memorydump do? According to the "code" part of the documentation (§III, p. 37):
\memorydump is a shorthand for \pausenumbering\resumenumbering. This will clear the memorised stuff for the previous chunks while keeping the numbering going.
Basically, to call \memorydump is to call \endnumbering and \beginnumbering directly after one another. But then, no matter where you place \memorydump, you mess with the very delicate hierarchy and arrangement of environments that is needed to operate reledpar. No matter where you use it, it will break things.
It is hard to tell from the question what you are actually trying to achieve. (Please clarify the question, if you are still interested.)
Assuming your aim is to preserve continuous line numbering across a "break" – meaning that you break down long chunks of texts by ending the `Leftside and pages (etc.) environments and printing the \Pages every once in a while, allowing for more natural page breaks and text distribution – then the solution is the same as detailed in my other answer.
Just before the break, use \pausenumbering instead of \endnumbering and right after, use \resumenumbering instead of \beginnumbering (these are explained in the reledmacmanual §5.2.7).
\documentclass{article}
\usepackage[a6paper]{geometry} % just for the screenshots
\usepackage{blindtext}
\usepackage[series={A},noend, noeledsec, noledgroup, nopenalties]{reledmac}
\usepackage{reledpar}
\begin{document}
\begin{pages}
\begin{Leftside}
%
\beginnumbering
\pstart
\blindtext
\pend
%
%\endnumbering % endnumbering --> resets line counting
\pausenumbering % pausenumbering --> continuous numbering
\end{Leftside}
%
\begin{Rightside}
\beginnumbering
%
\pstart
\blindtext
\blindtext
\pend
%
%\endnumbering % endnumbering --> resets line counting
\pausenumbering % pausenumbering --> continuous numbering
\end{Rightside}
\end{pages}
\Pages
\begin{pages}
\begin{Leftside}
%\beginnumbering % beginnumbering --> restarts line numbering from 1 here
\resumenumbering % resumenumbering --> continuous numbering
%
\pstart
\blindtext
\pend
%
\endnumbering
\end{Leftside}
\begin{Rightside}
%\beginnumbering % beginnumbering --> restarts line numbering from 1 here
\resumenumbering % resumenumbering --> continuous numbering
%
\pstart
\blindtext
\blindtext
\pend
%
\endnumbering
\end{Rightside}
\end{pages}
\Pages
\end{document}

\endnumbering, why don't you put it in the code of your example then? In order to help you, it would be best to have a minimal (non-)working example. Also, what is\renewcommand{\Rlineflag}{}supposed to do? – Jasper Habicht Aug 14 '21 at 16:58\renewcommand{\Rlineflag}{}is supposed to delete the line numbering for the page on the right side. I don't need line numbers for the translation. – happybobby Aug 14 '21 at 19:35