So the rank that carries the title is colonels, prefarebly a senior one, right? But do we call them commodore while they carry the task, command the filotilla or just call them as their ranks ie, colonel?
TL : DR
It is an official position, but not a title. Officially addressed by his own title and they used to (or have to) hold the 'kurmay' title.
Leaving the fancy descriptions aside, specifically when most of people don't even know what an admiral does, or when they are appointed as an admiral; a commodore is commander of a flotilla. Often they are also assigned to the lead ship of the flotilla (on the side of the ship's own commander), they are commander of the flotilla, not the ship but hierarchically still above the captain of the ship.
Commodore is also an official position, which is addressed by 'Komodorluk'.
North and South Zone Commands may not have a commodore, it is typically the Combat Flotilla Command, with an exception of submarine flotilla, having distinct flotilla commands which is consisting of commodore flotillas.
They are officially addressed by ' Staff Colonel Commodore' in direct translation of 'Kurmay Albay Komodor '. And he is also addressed as captain / commander of the ship. It is not a must-have-to condition.
I am not sure how the captain/commander of the ship addresses the commodore (if he is present on the ship) but likely it could be 'commodore' - or my doubt here also extends to rest of the crew / staff.
Combatant flotilla;
FACs,
Frigates,
Corvettes,
Submarines.
North/South;
Landing ships,
Bases,
Patrol boats,
OPVs,
Used to hold an authority over the coast guard - doubting if so nowadays.