Stackify has an official Jenkins plugin. The download and documentation can be found here:
Manage Jenkins / Manage Plugins / Available
Search for 'Stackify' and install the 'Stackify Deployment Recorder' plugin.
Jenkins Job / Configure
Add the 'Record deployment in Stackify Retrace' Post Build Action
Fill in your Stackify API key first. You will then get a drop down list of applications to pick from.
The configuration defaults should be fine for a Git + Maven Java project.
Save your job configuration changes.
Jenkins Job / Console Output
Manage Jenkins / System Log / Add new log recorder
Then you can view log messages from the Stackify plugin.