  We present results of a Raman scattering study of the Kagome ferromagnet
Co$_3$Sn$_2$S$_2$, with a focus on electronic and phononic excitations and
their interplay. In addition, the electronic band structure is analyzed
theoretically, enabling a semi-quantitative explanation of the spectra. A
prominent feature in the electronic spectra is a redistribution of spectral
weight from low to high energies starting at the Curie temperature Tc. The
Raman intensity is suppressed below approximately 1000cm$^{-1}$ and increases
above to a peak at 2000 cm$^{-1}$ in all symmetries. Two Raman active phonon
modes are identified in A$_{1g}$ and E$_g$ symmetry. The A$_{1g}$ phonon
couples strongly to the electronic continuum as indicated by the asymmetric
Fano-type line shape. The asymmetry depends non-monotonically on temperature
and is maximal close to the magnetic transition. In the limit $T\to 0$ the
phonon is nearly symmetric. The evolution of the coupling strength and the
electronic continuum as a function of temperature is attributed to a band
splitting induced by the ferromagnetic phase transition which substantially
reduces the DOS towards $T=0$. The $3d_{z^2}$ electrons of the Co atoms in the
crystal field modulated by the A$_{1g}$ phonon are implied to be a critical
component contributing to the strong electron-phonon coupling of that phonon.
These results allow a comprehensive understanding of the bulk band structure
evolution as a function of temperature in Co$_3$Sn$_2$S$_2$, offering key
insights for further studies of the driving force behind the long-range
magnetic order and novel topological states in this compound.
