The option listofformat controls the way subfloat numbers are typeset in the List of Figures/Tables and the actual format of the string produced by the \subref command. To change this format, you have to declare a new format using \DeclareCaptionListOfFormat and then use this new format in \captionsetup. In the second argument of the \DeclareCaptionListOfFormat command, #1 represents the float number and #2 represents the subfloat number. So to obtain the space between the float number and the subfloat number in the the LoF/LoT and when using \subref, you'll have to do something like the following:
\documentclass{book}
\usepackage[demo]{graphicx}
\usepackage[lofdepth]{subfig}
\DeclareCaptionListOfFormat{myparens}{#1~(#2)}
\captionsetup[subfloat]{listofformat=myparens,listofnumwidth=4em}
\begin{document}
\listoffigures
\chapter{Test Chapter}
\section{Test Section}
\subref{fig:sub1}
\begin{figure}
\centering
\subfloat[Text 1 In Toc][Text 1 in document\label{fig:sub1}]{\includegraphics[width=3cm]{name1}}\qquad
\subfloat[Text 2 In Toc][Text 2 in document\label{fig:sub2}]{\includegraphics[width=3cm]{name2}}
\caption{test}
\end{figure}
\end{document}
Here's the List of Figures obtained:

and a fragment of the document, showing the output produce by \subref:

If you only want to change the way \subref* (note the star) typesets the string associated to a subfloat, without affecting the entries in the Lof/Lot, you have to declare a new format using \DeclareSubrefFormat and then use this format in \captionsetup. In the second argument of \DeclareSubrefFormat you can use #1 (the string associated to the float), #2 (the string associated to the subfloat), #3 (the value of the float counter) y #4 (the value of the counter associated to the subfloat). A little example producing a space between the float and subfloat numbers:
\documentclass{book}
\usepackage[demo]{graphicx}
\usepackage[lofdepth]{subfig}
\DeclareSubrefFormat{myparens}{#1~(#2)}
\captionsetup[subfloat]{subrefformat=myparens}
\begin{document}
\listoffigures
\chapter{Test Chapter}
\section{Test Section}
\subref*{fig:sub1}
\begin{figure}
\centering
\subfloat[Text 1 In Toc][Text 1 in document\label{fig:sub1}]{\includegraphics[width=3cm]{name1}}\qquad
\subfloat[Text 2 In Toc][Text 2 in document\label{fig:sub2}]{\includegraphics[width=3cm]{name2}}
\caption{test}
\end{figure}
\end{document}
Now the LoF looks like this:

and the fragment showing the output of \subref*:
