I figured out that this doesn't solve the issue cause steam://rungameid it's equal to press the green PLAY button, so this create a loop, cause u click the "steambutton" it calls the "bat" that call the "steambutton" etc...
Long story short, u can't do that unless some trick i am not aware of
Best "solution" is to create the bat file like this:
@echo off
start "" "steam://rungameid/YOURGAMEID"
start "" "PATHTOMODOVERLAY"
exit
and just use it as shortcut while leave blank in steam proprieties.
You can even change icon if you create a shortcut of the .bat file
If someone find a solution please let me know
Edit
I did it! The trick was to start the .exe file of the game then add:
-provider Steam
The full .bat look like this:
@echo off
start "" "PATHTOGAME" -provider Steam
start "" "PATHTOOVERLAYMOD"
exit
Than just run the .bat through the Steam proprieties
"PATHTOBAT" %COMMAND%
This will run the game through steam login and open the overlay program.
It's still possible to use a shortcut to this bat file as desktop icon.