Part of the problem is that they're not very high tech at all. Like I said, cell phones, garage door openers, and small timers like the ones you might use in your kitchen are some of the most common ways that IEDs are detonated. Those technologies are so simple and easily modified that they are very hard to counter. Even the infrared detonators are almost always nothing more complicated than what is available in a simple home burglar alarm. In Afghanistan, IEDs are often detonated with pressure plates that are laid in the roadway, which is literally impossible to prevent with electronic jamming. So the DoD has spent a lot of money, possibly billions, on IED solutions, but low tech things like that are just very hard to beat. The countermeasures can increase survivability and force the Taliban to plant more IEDs for each American injured or killed, but they can't make the problem go away.
From what I understand, IED safety is included in the training the Iraqis get (and they have plenty of on-the-job experience with it as well), but I would doubt that they have the same level of jamming/protection kit as the Americans. Also I seem to remember hearing somewhere that American bomb-investigation teams are remaining in Iraq for a while as the Iraqis just can't do that stuff on their own yet (if ever), but I would imagine that forensic bomb investigation is in very high demand in Afghanistan and the top brass would want as many of those units as possible in A-stan.