To make it look like this?
Actually, what you want is a spacing modifier, see
http://www.unicode.org/charts/PDF/U02B0.pdf
the one you want is 02C6, MODIFIER LETTER CIRCUMFLEX ACCENT
Enter it the way you'd enter any Unicode character. There is a difference between the *characters* in spacing modifiers and combining diacriticals, even though they are often the same *glyph* -- a concept sort of at the core of Unicode.
In Word or InDesign just copy and paste the unicode character using a font which supports it: ̑.
In LaTeX there are multiple ways to achieve this:
\^{} renders as ˆ. Here is a list of such commands.If you use a XeTeX (putting \usepackage{fontspec} in your preamble):
symbol command, with a preceding double apostrophe ''. To produce an inverted breve you would type \symbol{''0311}.Yes, I don't know if there is an inverted breve (might also be called "roundcap") in Unicode that isn't ALSO a combining diacritic.
As has been suggested, easy enough to get one to print -- just use the combining diacritic over, say, a thin space between word spaces, but odd things happen to space characters in some applications, such as EPUB.
If the mark can be longer, as with a scansion mark, you could use one of those over a word space.
Not sure why you need it, but things can be found in odd places in Unicode -- like the glottal stops for Guatemalan Mayan in a section generally devoted to Chinese...
It could be that if you described the need, one of the people more familiar with the Cyrillic alphabets could help. I forget which, but either Brill or Gentium is pretty good with extended Cyrillic characters.
Otherwise, while most of us are never in favor of using Unicode characters for a purpose outside their intent -- like a combining diacritic for a spacing modifier -- in this case, you have have no choice.
In LaTeX, you can use phantom letters: they are not in the text but the text is typeset as if they were there. You can thus put you combining diacritic on a fictitious letter. Here is an example:
\documentclass{article}
\usepackage{polyglossia}
\setdefaultlanguage{serbian}
\setmainfont[Script=Cyrillic,Language=Serbian]{Cambria}
\setlength{\fontdimen2\font}{2\fontdimen2\font}
\begin{document}
на првоме слогу и са \phantom{a}\symbol{"0311}\, на другоме.
\end{document}
and here is the output:

The \setlength command doubles the interword spacing, so as to look more like your picture; a phantom "a" is used for the combining diacritic and the command \, puts a thin space after because otherwise, it looked ill centered.
Wow, thank you, Lex, Charles and Michel!
I knew there was a way to insert symbols via their Unicode numbers! That's what I wanted!
However...
This sort of code
Vin.\ i zvat.\ mn.\ imaju akcente kao i im.\ mn.: \emph{zȗbe : zȗbi}, \emph{knȅzove : knȅzovi}, \emph{púževe} i t.\ d.
\phantom{a}\symbol{"0311} na ˊ u svima padežima osim onih koji će se na po se spomenuti, n.\ p.\ \emph{strȋc} ima u rod.\ jed.\ \emph{stríca}, dat.: \emph{strícu}, vin.: \emph{stríca}, tvor.: \emph{strícem}, skaz.: \emph{strícu}; tako \emph{dvȏr} ima u im.\ mn.\ \emph{dvóri} i \emph{dvórovi}, i t.\ d.
produces

Why the such a big space between the paragraphs?
I don't know the why and I usually use \phantom in equations without problems. If you write your phantom so that the letter be a mathematical letter the problem seems to disappear. With the input
Vin.\ i zvat.\ mn.\ imaju akcente kao i im.\ mn.: \emph{zȗbe : zȗbi}, \emph{knȅzove : knȅzovi}, \emph{púževe} i t.\ d.
$\phantom{i}$\symbol{"0311} na ˊ u svima padežim [\ldots]
blabla [\ldots]
I get

\phantom{a} was giving a "left side bearing" that was too large; with Cambria, $\phantom{i}$\symbol{"0311} also looked fine between two words.
For the whys, y0u may try http://tex.stackexchange.com/questions/
I guess it is \smash. Here is a grab from personal notes (which also reminds us that the alignment of "accents" is culture dependent).

Added: I used an explicit kern to fix the l squared. Here is the source
Let us try with \verb+\vphantom{\othertheta}+ and next with \verb+\rdot+
\[
L\ = \frac{ml^{\kern0.05em2}}{2}\left(\dot{\othertheta}^2 + \sin^2\othertheta \cdot \dot{\vphantom{\othertheta}\othervarphi}^2\right) + mgl\,\cos \othertheta
\]
\[
L\ = \frac{ml^{\kern0.05em2}}{2}\big(\rdot{\othertheta}^2 + \sin^2\othertheta \cdot \rdot{\othervarphi}^2\big) + mgl\, \cos \othertheta
\]
The math font is Fourier http://www.ctan.org/tex-archive/fonts/fourier-GUT/ whose latin letters come from Utopia http://www.ctan.org/pkg/utopia.
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