Alternative to "with respect to" while preserving original meaning

Grammarly has pointed out that this sentence may be wordy:

The goal is to tackle the classification of documents with respect to ICD.

due to the usage of "with respect to". It recommends me to change it for "concerning", "to" or "for" but I think the meaning wouldn't be preserved.

Meaning:

The "classification of documents" is an action that consists of tagging documents.

The "ICD" is the "Internation Classification of Diseases", that is, a list of codes.

The tagging should be made according to this codes. Namely, tag each document with one or several codes from the "ICD" list of codes.

Question:

What alternatives do you think are appropriate for this case?

As so often happens when you talk through something, I think you already phrased it better when you described the meaning:

The tagging should be made according to this codes. Namely, tag each document with one or several codes from the "ICD" list of codes.

I like “according to” instead of “with respect to”, and I like how concretely and directly you put it; I understand what exactly will happen in the classification.

The phrase “tackle the classification of” is a good example of a buried verb: you could just say “classify” instead. And the phrase “The goal is to” is passive; you could say “We want to” (or whoever wants to) instead. But “classify [according to]” is still sort of vague; as you said, the way you classify is to tag it with a code. So I would just say:

“We want to tag each document with ICD codes.”