^Yea there’s a whole thread on AZ about those chrysler ballasts. It all depends on which ballast is in your car and what your car came equipped with (non adaptive, adaptive, etc). For the most part is B6 vs B7, but some of the early B7’s are a toss up, and there’s a chance that it’s more compatible on the A4’s than S4’s due to options. I’m really going on vague memory for that part though.
The best way to know for sure is just pull your headlight out and then pop your ballast off the bottom of the headlight. Then you can tell if you have the 4 pin harness (which matches the chrysler) or the other harness (it’s either 6 pin or more, don’t recall for sure) which won’t work.
There were even some people that found the 4 pin plug and were soldering them in place of the non-4pin harness to make the chrysler ballast work, but now no one can find that 4 pin harness anymore so it’s not an option.
For the DDM, or any supplier, all you need is your actual headlight bulb type (I think it’s D1S, easy to find out for sure). You can’t replace the ballast in the headlight with an off the shelf aftermarket one. So I was suggesting you just buy a new set of bulbs (I’ve used DDM b/c I wanted a different light color, i.e. 6000k, or just buy an oem equivalent if you don’t care about that).
The DDM “kits” are for fog lights and non H.I.D. components to take a traditional halogen setup and put a H.I.D. setup in it’s place. Of course this doesn’t use a lens and cutoff beam like your headlight does, but I love the look of matching H.I.D. fog lights (even if they’re technically less effective for fog situations).