  Due to the absence of any definite signals of new physics at colliders and
from precision measurements, it has gradually become more and more popular in
the community to utilize the effective field theory (EFT) framework in
searching for new physics in a model-independent manner. In this letter,
working in the EFT framework and focusing on neutrino non-standard interactions
(NSIs), we report our most recent results on these NSIs from considering
terrestrial neutrino oscillation experiments Daya Bay, Double Chooz, RENO, T2K
and NO$\nu$A, and precision measurements of $N_{\rm eff}$ from Planck and
CMB-S4.
