  In this work, we propose a cosmological scenario inherently based on the
effective Nambu-Jona-Lasinio (NJL) model that cosmic inflation and dark matter
can be successfully described by a single framework. On the one hand, the
scalar channel of the NJL model plays a role of the composite inflaton (CI) and
we show that it is viable to achieve successful inflation via a non-minimal
coupling to gravity. For model of inflation, we compute the inflationary
parameters and confront them with recent Planck 2015 data. We discover that the
predictions of the model are in excellent agreement with the Planck analysis.
We also present in our model a simple connection of physics from the high
scales to low scales via renormalization group equations of the physical
parameters. On the other hand, the pseudoscalar channel can be assigned as a
candidate for composite dark matter (CD). For model of dark matter, we couple
the pseudoscalar to the Higgs sector of the standard model with the coupling
strength $\kappa$ and estimate its thermally-averaged relic abundance. We
discover that the CD mass is strongly sensitive to the coupling $\kappa$. We
find in case of light CD, $M_{s}<M_{h}/2$, that the required relic abundance is
archived for value of its mass $M_{s} \sim 61\,{\rm GeV}$ for $\kappa=0.1$.
However, in this case the CD mass can be lighter when the coupling is getting
larger. Moreover, in case of heavy CD, $M_{s}> M_{W,\,Z}$ (or $>M_{h}$), the
required relic abundance can be satisfied for value of the CD mass $M_{s}\sim
410\,{\rm GeV}$ for $\kappa = 0.5$. In contradiction to the light mass case,
however, the CD mass in this case can even be heavier when the coupling is
getting larger.
