The inner box should only adjust the level of water within the aquariam...raising and lowering it simply raises and lowers the tanks level.
If your setup is resembling what squid has posted...that is all fine...
What does the plumbing from the overflow to the sump look like? Often times people will neglect to pay attention to bends/corners in drain line...mere drain pipe size, etc....if the water cannot evacuate the plumbing into the sump at the same or greater rate it is coming in...it will backup.
Check also the inside diamter of the two standpipes in the outer overflow box...sometimes they are assembled with two small of piping.
Ideally, you do not want any restriction in the drain portion of the overflow system.