Thank you

I am confused the 1st picture mosfet driver is different style form the 2nd picture mosfet driver.

Need to see the external Mosfet Pin-labels ,
It appears you have the supply Power wired correctly.
Would like to see the controller bed driver pins to the External mosfet driver.

Tried to look up your External mosfet but could not find one that look like your to check the wiring by.