  We discuss the cosmological reconstruction of
$f(R,R_{\alpha\beta}R^{\alpha\beta},\phi)$ (where $R$,
$R_{\alpha\beta}R^{\alpha\beta}$ and $\phi$ represents the Ricci scalar, Ricci
invariant and scalar field) corresponding to power law and de Sitter evolution
in the framework of FRW universe model. We derive the energy conditions for
this modified theory which seem to be more general and can be reduced to some
known forms of these conditions in general relativity, $f(R)$ and $f(R,\phi)$
theories. We have presented the general constraints in terms of recent values
of snap, jerk, deceleration and Hubble parameters. The energy bounds are
analyzed for reconstructed as well as known models in this theory. Finally, the
free parameters are analyzed comprehensively.
