I assume you want to change both the way tables are numbered and the way they are cross-referenced. I further assume you're using a document class such as book or report which numbers table and figure environments per chapter, starting at 1 at the start of each chapter.
To have these environments numbered (and thus also cross-referenced) continuously throughout the document, you could issue the following commands in the preamble:
\usepackage{chngcntr}
\counterwithout{table}{chapter}
\counterwithout{figure}{chapter}
Incidentally, instead of redefining \eqref and defining \tref in the ways you show in your posting, you could load the cleveref package and use its \cref cross-referencing command; \cref will automatically prefix the item's type (e.g., equation, section, table) before the associated number, or numbers.
[Image deleted. It turns out that the OP's problem was quite different from the way he/she had described it initially. See the addendum below for the actual solution.]
\documentclass{report}
\usepackage{chngcntr}
\counterwithout{table}{chapter}
\counterwithout{figure}{chapter}
\usepackage[capitalize,noabbrev]{cleveref} % just for this example
\begin{document}
\chapter{Uno}
\begin{table}\caption{First table}\label{tab:1}\end{table}
\begin{figure}\caption{First figure}\label{fig:1}\end{figure}
\chapter{Due}
\begin{table}\caption{Second table}\label{tab:2}\end{table}
\begin{figure}\caption{Second figure}\label{fig:2}\end{figure}
\begin{figure}\caption{Third figure}\label{fig:3}\end{figure}
\chapter{Tre}
Here are cross-references to \cref{tab:1,tab:2,fig:1,fig:2,fig:3}.
\end{document}
Addendum: After the OP posted a working example, it became clear that the "2.1" that showed up in the cross-reference was not associated with a table object at all, but with a subsection. (The OAGM document class does not feature a \chapter command at all, and it doesn't number table and figure items by section.) Below is a corrected form of the OP's MWE that shows the expected behavior (in terms of table numbers that show up in a cross-reference.)

\documentclass{OAGM}
%% For the accepted, final version, set this to the correct value:
\OAGMarXiv{1404.3538}
%% I've commented out duplicate package loading instructions...
\usepackage{float} % fix the table %% Why??
\usepackage{bold-extra}
\usepackage{amsmath,bm}
\usepackage{color}
\usepackage{amsopn}
\usepackage{bbm}
%\usepackage{hyperref}
\usepackage{mathrsfs}
\usepackage{tikz,pgfplots}
\usepackage{listings}
%%\usepackage{color}
%\usepackage{breqn}
\usepackage{caption}
\usepackage{subcaption}
\usepackage{epstopdf}
%\usepackage[titletoc,toc,title]{appendix}
\usepackage{mathtools}
\usepackage{tabularx}
\usepackage{booktabs}
\usepackage{natbib}
\usepackage{graphicx}
\usepackage{amsfonts}
%%\usepackage{mathtools}
\begin{document}
\section{1}
\subsection{2}\label{subsec:xyz}
\begin{table}
\centering
\begin{tabular}{ll}
\toprule
a & b\\
\bottomrule
\end{tabular}
\caption{My first table}
\label{tab:1}
\end{table}
Here's a cross-reference to Table~\ref{tab:1}, and here's a cross-reference to Subsection~\ref{subsec:xyz}.
\end{document}
\renewcommand{\thetable}{\arabic{table}}for example – Apr 24 '14 at 12:55tablenumber is probably reset to0at the start of each chapter. It's thus not enough to reset\thetable; it's also necessary to change the way thetablecounter variable is set and incremented. – Mico Apr 24 '14 at 13:00\thetable. I agree with you if you meant a continous counting of tables. – Apr 24 '14 at 13:08