Very sorry to hear that... I'll mention a couple of things here without knowing what type of work you have been doing, what things you are interested in, and who you are as an individual.
In your resume/cover letter I would emphasize that you are a loyal and stable employee as evidenced by 20 years with one company. And maybe also indicate that while losing your job due to restructuring is difficult, your natural inclination to be positive and productive means you view this period as an opportunity to pursue new career challenges that will also assist in your ongoing personal growth and development.
It is never easy to lose a job, but you no doubt have a number of advantages over younger job seekers. Perhaps you are more mature, more adaptable to changes given your life experiences, more adept at building relationships with coworkers/clients, have a different work ethic, etc. These are things you can emphasize about yourself (without being negative about younger potential competitors in the job market).
You might want to reach out to employment agencies/ head-hunting organizations as well, because they may have contacts that could be beneficial too. They may be aware of a number of positions out there that are waiting for someone just like you.
These are just a few ideas... good luck with the search, and stay strong