I hacked Nepgearsy's 'Void UI - Kill Counter Addon' so that it will count your kills across different sessions. I did this because I couldn't find any mod that does it.
This mod includes Nepgearsy's mod with an option to toggle it on or off. If you already have Nepgearsy's mod I recommend removing it first. I haven't tested what happens.
The mods settings include:
Set total amount of kills, this can be found in ROBBEDACOP trophy.
Toggle session kill counter
Swap placement of session kill counter with total kills
Counter type (count up, count down from ROBBEDACOP total, percetage of ROBBEDACOP eg 23.42)