Being able to monitor how quality evolves is a good start (see Time Machine).
The next step would be to manage your technical debt on your current developments in order to keep it under control.
To deal with that, Sonar offers you the Differential Services feature on measures, violations and coverage by unit tests on new code.
Differential Views Settings
3 periods can be configured globally and will be available and common to all projects. This is done in Configuration -> settings -> Core
2 complementary periods can be configured and be specific to projects. Those are available in the project settings -> core