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I have found the solution.Add the following
\setlength{\cftmyequationsnumwidth}{2.5em}% Width of equation number in List of Equations

The overall code in the style (*.sty) file:

%%%%% List of Equations
\iffigurespage
\newcommand{\listequationsname}{\normalsize\normalfont\centering\vspace*{-0 ...

With your approach, the indentation of this list no longer matches the indentation of the other lists if the text entered needs more than one line.

The command \newlistof creates, among other things, the command \cftXpresnum (X serves as a placeholder), which can prepend the word to any list entry ...

I finally nailed it, miss several line of codes to make into a new page.

%%%%% List of Equations
\iffigurespage
\newcommand{\listequationsname}{\normalsize\normalfont\centering\vspace*{-0.5in} LIST OF EQUATIONS}
\newlistof{myequations}{equ}{\listequationsname}
\newcommand{\myequations}[1 ...

I am catching up with Latex, but this one really annoyed me. I was provided with the standard *.sty file and the main.tex which I attached here.

The standard sty file does not contain page for "List of Equations." By following the guide from https://latex.org/forum/viewtopic.php?t=428 I managed to ...