There is nothing magical in the name "EOD team", its just a unit title after all, i.e. a string the OOB designer typed in.
Engineering ability is determined by the
unit class. So searching the Game Guide on the unit title is pointless.
Search on the unit class name instead. That is what the Game Guide is written on.
There is
no "EOD Team" unit class. EOD teams are of any particular engineer unit class the OOB designer decided to use when the OOB was written. Just like any other engineer unit, rifle squad or whatever. And just like any other unit, the OOB designer could use whatever title he wanted for the things - especially if the OOB was not an English language using one.
EOD teams are engineers - so they work the same way that engineers do. They are usually smaller though, 4 men, so are size 0, and therefore if you take care not to move too fast in LOS, and not to close to the enemy then they
may not spot them as they go about their business. They tend to fit into a small Jeep or one of those mini-MRAPs with 4-6 carry, that wont hold the usual 7-12 man section.
Just like any other engineers, you move them slowly (1-2 hexes a turn) where you suspect there are mines or booby traps, and occasionally leave them static for a better sweep of the area.
Once they have spotted an enemy engineer store, then move them alongside and
face the unit towards the engineer hazard and they will start to try to neutralise them. If feeling brave, and it is the unit's first movement in a turn (moving fast makes things go boom
easier!), then move the 1 hex into the hazard's hex for faster disarming - units in the same hex as the hazard de-mine faster, but may trip it on entering the hex. Your choice - if feeling cautious, just work it from the adjacent hex.
Then wait...
Larger engineer teams clear an area faster - so 4 man EOD teams are disadvantaged here a little bit, and may need a little more time/luck on the clearance rolls.