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Mirror dark matter interacting with ordinary matter via photon-mirror photonkinetic mixing can explain the DAMA, CoGeNT and CRESSTII direct detectionexperiments. This explanation requires kinetic mixing of strength $\epsilon\sim 10^{-9}$. Such kinetic mixing will have important implications for earlyUniverse cosmology. We calculate the additional relativistic energy density atrecombination, $\delta N_{eff} [CMB]$. We also calculate the effects for bigbang nucleosynthesis, $\delta N_{eff} [BBN]$. Current hints that both $\deltaN_{eff} [CMB]$ and $\delta N_{eff} [BBN]$ are non-zero and positive can beaccommodated within this framework if $\epsilon \approx few \times 10^{-9}$. Inthe near future, measurements from the Planck mission will either confirm thesehints or constrain $\epsilon \stackrel{<}{\sim} 10^{-9}$.

Mirror dark matter cosmology - predictions for $N_{eff} [CMB]$ and $N_{eff} [BBN]$