  Recent satellite observations have revealed significant anisotropy in the
cosmic microwave background (CMB) radiation, a phenomenon that had previously
been detected but received limited attention due to its subtlety. With the
advent of more precise measurements from satellites, the extent of this
anisotropy has become increasingly apparent. This paper examines the CMB
radiation by reviewing past research on the causes of CMB anisotropy and
presents a new model to explain the observed temperature anisotropy and the
anisotropy in the correlation function between temperature and E-mode
polarization in the CMB radiation. The proposed model is based on a
modified-generalized Compton scattering approach incorporating Loop Quantum
Gravity (LQG). We begin by describing the generalized Compton scattering and
then discuss the CMB radiation in the context of processes occurring at the
last scattering surface. Our findings are derived from the latest observational
data from the Planck satellite (2018). In our model, besides the parameters
available in the Planck data for the standard model ($\Lambda$CDM), we
introduce two novel parameters: $\delta_{L}$, the density of cosmic electrons,
and $M^2$, a parameter related to the modified-generalized Compton scattering
effects. The results indicate that, based on the 2018 Planck data, small values
were obtained for $\delta_{L}$ and $M^{2}$, $\delta_{L}=1.63\pm0.08(10^{-13})$
and $M^2=2.28\pm0.34(10^{-4})$), showing no significant deviation from the
standard model. Moreover, increasing the values of $\delta_{L}$ and $M^{2}$
leads to an increase in the range of fluctuations in the CMB temperature
anisotropy power spectrum and the correlation function between temperature and
E-mode polarization for multipoles $l<500$ until the first peak.
