The manual way to do it is to set the FOV Type in Battlebit to the same as in Hunt and enter the same value. So FOV Type Hdeg 16:9 and FOV 110. Then check the output for the Config FOV for Battlebit, this is what FOV you need to configure to match Hunt. That value is not rounded to what the game supports though, so if you now switch back to Vdeg for Battlebit (which is what it uses by default), you will get the rounded value (78) that you need to configure.
You can also use the Auto FOV function, just set it up to match Hunt, then the FOV for any game you select will be automatically matched as close to this as possible with the supported rounding.
It's also important to check the game notes for additional instructions, for Battlebit you need to manually set the Multiplier 1 value for Aim Down Sight Horizontal Sensitivity unless you use the default value of 100: