Hi!
It appears that for all the DLC you need only to complete the final volume of each in Mein leben to unlock the achievements (thank you Level 75 Noob for pointing this out). I'll leave the below guide in case you plan on completing the entire DLC on Mein leben for whatever reason :)
Mein leben is basically the same as I am death incarnate! but you only have one life and are not able to save throughout your playthrough. The good news for this version of this achievement is that the DLC is split up into three volumes and you can do each volume in Mein leben separately. Each level only takes around 20 minutes making it considerably easier than in the main game.
You may be able to start the DLC in Mein leben but I recommend playing at least once all the way through death incarnate to get a feel for where you may have trouble and practice those parts a bit. Below I will have some general tips and a link to a Mein leben playthrough of this DLC.
Some tips:
-Joe gets the Unnecessary roughness ability, which seems to be the same as the Ram Shackles in the main game and can be useful for charging through enemies and instantly killing them
-Beware of explosives on the ground as they will explode and hurt you if you sprint into them
-Joe gets Canned goods to throw instead of a hatchet which only seems to instantly kill enemies with a headshot and can be difficult to aim
-You can use Canned goods to distract enemies or silently kill them
-Joe also regenerates armor when you pick up armor as long as you are not interrupted by damage (it will regenerate to 25, 75 or 100 depending on which is the closest to your current armor)
-Enemies seem less likely to hit you while you are leaning or sprinting
-Many triggers will despawn enemies behind you or make them stop chasing you
-Some areas behind you will continue to be accessible as you carry on so you can backtrack if you need health or ammo
-Practice with saves in I am death incarnate! so you are more confident with any section you have trouble with in Mein leben
Good luck!