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This MWE
\documentclass{article}
\usepackage{xparse}
\begin{document}
\NewDocumentCommand{\myVerbatim}{v}{#1}
\myVerbatim|This is some text, which can contain $\sin(x)$ or code or $$|
\verb|This is some text, which can contain $\sin(x)$ or code $$|
\end{document}
Produces, using lualatex, this
I thought they should come out the same. Why are they different?
From manual
TL 2015
The manual doesn't say that a font selection is done when delivering the argument after it has grabbed “in a way similar to \verb” just because it doesn't happen in the first place. So
\NewDocumentCommand{\myVerbatim}{v}{\texttt{#1}}
will emulate \verb (but \verb does some more things).
\verbis a typesetting command: av-type argument is about 'grabbing' stuff, what you do with it is down to you