How do mirror work in atom levels?

A high level description.

In the case of reflection at a metallic interface the electric field of the photon forces the electrons in the metal to oscillate. The oscillation means that the electrons are being forced at the same frequency as the photons. Thus as the electrons in the metal oscillate they begin to emit light in response. The frequency, polarization and phase of the emission causes interference. On a macroscopic level it looks identical to a photon bouncing off the metal surface.

I'm not sure of the details, I found this online, but it corresponds to what the woman mentions in your video link

Hope this helps you!

Photon would not bouncing off the metal in atomic levels, I would like to know on whether the Bohr model can explain this process or not.

Do you have any suggestions?
Thank you very much for any suggestions (^v^)

I don't think so because a single atom could not reflect light after absorbing the photons energy