I came across XRAY on Jira Cloud and i found its really usefull, I have started using in our company and replaced zephyr . Xray will give the opportunity to maintain both manual and automated test in one single interface. It support Rest api so you can import results from jenkins and update jira issues also.
Need for management tool where we can associate the tests to the requirements and have the reports. You don't need any other management tools to associate the tests to requirements since that is done using cucumber feature files. For reports from Gherkin, you can use the cucumber-jenkins plugin on Jenkins, export you test results in JSON files after each test run and publish Cucumber reports as a post execution step.
Tools that read the Cucumber feature files. There are tools that read Cucumber files and allow you to easily share, manage and search your product's live documentation online from the feature files.
I agree with Chuck, really you shouldn't be storing your feature files in any TCM program.
However, if you are writing acceptance tests in Gherkin format and the automating specific ones I've been using Testrail. It has a pretty good API and UI scripts (Im using one that does highlighting on the Gherkin keywords).
I then take some of those and create feature files out of the ones im going to automate (which I will then proceed to keep in our repo of choice).