In addition to this post, The used settings were :
DOS:
ISMEAR = -5
SIGMA = 0.2 (default value)
BS:
ISMEAR = 0
SIGMA = 0.1
Now, This settings have lead to the same exact Band-gap stats, but the Fermi energy isn't the same. I am wondering which one of them leads to the correct $E_{Fermi}$ value.
Could I adopt the $E_{Fermi}$ value of one calculation for the other when plotting the results as suggested here in the last answer.