This achievement is unlocked via the Battle mode titled Capture the Bomb. This means you have to play this online and cannot boost it with controllers in skirmish. A bomb spawns in the middle of the map, and you earn points by picking it up (while losing the ability to fire weapons) and holding it in the enemy base for 7 seconds. When it detonates, you earn a point.
This achievement requires a lot more. In essence, you have to let the enemy pick up a bomb and take it to your own base (which is risky, because if you don't kill them quickly enough you'll lose a point), kill them to drop said bomb, collect it yourself (with AI in play, this can be a feat in itself) and then deliver it to the enemy base without dropping it. In other words, you can't be blown up or hold down
to drop the bomb and fire.
My advice would be to pick an primarily offensive character (I used El Incendio for example) so that you can take them out with more ease, camp at your base and wait for an enemy to try and attack with a bomb. I used the
button move to fling a gas tank at the enemy (and AI likely have damaged them too) and take out the enemy. Then, just drive as quickly as you can to the enemy base while also picking up any health along the way. Just hope you don't run into AI, as they home in on you and won't let up. Take advantage of jumps and shortcuts too, as these can be the difference between earning this and getting blown up.