Managers are hired to get fired - baseball maxim
Providing results in a resume is important for everyone, but is especially critical for managers. Being a manager is unique in that most of your accomplishments come through the efforts of others.
If you have not done so already, start quantifying your results when they occur.
Be aware of your mission, your starting point, and results. If you decreased rejects, what was the existing level and where did you bring it to? If you improved customer satisfaction, where was it when you took over?
It often helps to indicate the size of your department, the number of direct reports, and the dollar value of your department’s budget, but include it only if you feel it will help sell you.
Do not get caught in the trap that your results must be super impressive. If rejects are reduced from 2.1% to 1.9%, that is still an 11% decrease and is very significant. Use your results to show that wherever you are, you constantly look for ways to improve your operations.