The unit will look just the same, its the part number you want.
I have a '96 K1100RS and the part number (which you see at the bottom of the label in your photo) reads
1 464 710This equates to BMW part no. 13611464710 which supersedes 13611464717 which I posted above.
The number on the unit you have starts with 13##### and as far as I could determine from realoem, those units are for the R series not K.
Go to realoem.com and enter your last 7 VIN digits to see all parts for your model.
This is the Motronic unit for your model which is the one I posted above. If you then click on the part no. link (the one at the top of the list) it will take you to more info on that unit like units it supersedes and other models that have that unit. Compatibility appears retrospective and your K is a later model so, I'm not sure, but you may need a later unit. If it were me I'd try any of those I listed above.
Sorry. I can't post a photo of mine from my tablet. New laptop coming any day now.
Hope this helps you to find a suitable unit.
NOTE: the BMW oem part number has 1361 in front of the part number that is actually on the unit.