Sorry for the late response, but it is stressful times due to an upcoming conference. First to all I’ll like to thanks to all of you who took your time to give an answer to my question. Said that, some things to say:
- Errata: just to clarify. I said previously that didn’t applied a sharpness to the image generated with LR, which is not true (in any case, everyone correctly assumed that it had been applied.). I though that I had deselected that module. Here are the sharpening settings:
And here is a comparison of the JPG with and without sharpness mask.
(100% crop. Left: LR JPG with sharpness. Right: LR JPG without sharpness)
(200% crop. Left: LR JPG with sharpness. Right: LR JPG without sharpness)
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Similar topic: @Andy_Bulka last year made a very similar question. So here are additional answer to basically the same question. Here the link to the topic https://discuss.pixls.us/t/how-to-get-darktable-sharpness-to-match-lightroom/35125
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Taking into considerations all the different suggestions and ideas I think I finally achieved, at least to me, a fine result that match the results from LR. Here is the image comparing both JPG in a 200% crop. In summary, I sed the “diffuse or sharpen” module with “sharpen demosaicing: no AA filter” and twist the sharpness (at the bottom) to 25% (still remains to recover the colors lost by the CA module).
(200% crop. Left: LR JPG. Right: DT JPG).
Here is the XPM file if any one of you would to explore how I got the result.
PK320007.DNG.xmp (20.1 KB)
Thanks to @Donatzsky for the detailed asnwers and the video to CA, also to @kofa for the explanation of denoised module which I use to get this result. Thanks @Terry for the nice ideas (also played with the sharpen module but I never got a result that fullfil what I was looking for), and thanks to @priort for been the first to help me 
I’ve never explored the DorS module before, so there is a lot potential to explore there.
Note: if someone would like to compare in full detailed both JPG here they are:
LR jpg:
DT jpg:
