How to get a file quicker in TAB:menu-complete binding?

In bash, when binding TAB with menu-complete, I can cycle through the current files in the lexicographical or alphabetic order. - What if the file that I want is the last file in the order? How can I get it quicker? It doesn't work by TAB while pressing SHIFT. - What if the file that I want can be got more quickly by some other order, for example, some of those available to ls: modification time, file size, etc.