Using https://github.com/ystia/cucumber-html-reporter, it's possible to provide nice HTML reports based in test results, which could be stored in the artefacts section of Jenkins.

docker run --rm \
   -v "$(pwd):/use/src/app/in" \
   -v "$(pwd):/use/src/app/out" \
   -e "CHR_APP_jsonFile=in/results.json" \ 
   -e "CHR_APP_output=out/report.html" \
   ystia/cucumber-html-reporter:latest

What I'm not sure if it's possible to generate both test results: junit + cucumber json. Otherwise we lose one or the other. I'm going to research about it in the Godog project