\documentclass{standalone}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
  T^3  \ \arrow[d, swap,"\mu T"] \ \arrow[r,"T \mu",""{name=A}] & T^2 \ \arrow[d,"\mu"] \\
  T^2 \ \arrow[r, swap,"\mu",""{name=B}] & T
\arrow[Rightarrow, from=A, to=B, "{\stackrel{\cong}{\tau}}", shorten >=1em, shorten <=1em]
\end{tikzcd}
\begin{tikzcd}
 T \arrow[r,"\eta T"]\arrow[rd,swap,"\mathrm{id}_{T}",""{name=A}] & |[alias=T2]|T^2 \arrow[d,"\mu"] & T \arrow[l,swap,"T \eta"]\arrow[ld,"\mathrm{id}_{T}",""{name=B}]\\
&T
\arrow[Rightarrow, from=T2, to=A, swap,"{\stackrel{\cong}{\lambda}}",pos=0.7, shorten >=0.5em, shorten <=0.5em]
\arrow[Rightarrow, from=B, to=T2, swap,"{\stackrel{\cong}{\rho}}",pos=0.3, shorten >=0.5em, shorten <=0.5em]
 \end{tikzcd}
\end{document}