It would be helpfull if you tell us where in those descriptions you have problems understanding, especially since it's rather simple - under the condition that you understand how to use variables.
If you do not know how to use variables, then I suggest that you go back to the tutorials until you do, because variables are one of the most basic parts of eventing, and you won't be able to make your game until you understand them.
That said, the use of the script with its basic options is simply: upon entering any map, have an autorun event store the IDs of the four maps that are top, right, bottom and left of the current map into the four variables you set up in the configuration part of the script (it defaults to variables 21 to 24 if you don't change the configuration).
The fifth and last command in the autorun (after the four control variable commands) needs to be "erase event".
Do that for every map that uses the edge transfer, and it will work.
If you need help with tutorials and variables, follow the link in my signature