I'm a bit puzzled why you are asking this, the answer is in the photos you have posted. Simply move the wires from the EP terminals to the Hive terminals that have exactly the same function.
EP N ..... Hive N
EP L ..... Hive L
EP 1 Hot water off.....Hive 1 Hot water off
EP 3 Hot water on.....Hive 3 Hot water on
EP 4 Central Heating on... Hive 4 Heating on
The link presently between the EP 'L' and '5' is discarded as the Hive has this link already internally.
If you don't have an existing room thermostat, then that's it, job done.
If you do have an existing room thermostat that will need decommissioning properly, it can't just be disconnected and removed or the central heating will be left 'open circuit' and will not work. This is done by connecting the live thermostat switching wires together at the thermostat, or at their place or origin. Or alternatively leave it in place and set it to its maximum setting. That way it won't interfere with the Hive.