  With the recent release of the black hole image of Sgr A* alongside the
earlier image of M87*, one can achieve an in-depth understanding of
gravitational physics at the horizon scale. According to the Event Horizon
Telescope (EHT) collaboration, the observed image is consistent with the
expected appearance of a Kerr black hole. In the present work, we consider
Kerr-Newman black holes in Weyl-Cartan theory as a supermassive black hole (BH)
and evaluate the parameters of the model with shadow size estimates done by the
observations of M87* and Sgr A* from EHT. Such a study can be a possible way to
distinguish Weyl-Cartan theory from general relativity and ensure the validity
of the idea. Besides, we calculate the energy emission rate for the
corresponding BH and discuss how the model's parameters affect the emission of
particles around the black hole. With this investigation, we are able to
examine the time evolution and lifetime of the black hole in such a theory of
gravity.
