AGN (Active Galactic Nuclei) are high energy galaxies powered by supermassive blackholes. The evolution of a galaxy is characterized by parameters such as luminosity and redshift. The redshift is a measure of how far away a celestial object such as a star is away from earth as a frame of reference.
The two have nothing to do with each other, so there is no effect.
AGN are created by events happening inside the galaxy, and have nothing to do with the galaxy's motion through space relative to the observer (at the present, that means us). The events going on in the galaxy have nothing to do with its motion through space relative to us, which is what the redshift tells us, and vice versa, hence the answer in the first paragraph.
gravitational Redshift is not used to determine distance. It is instead due to the Genera Theory of Relativity.
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