Update MANIFEST.SKIP to exclude MYMETA files. If you are lazy, add "#!install_default" in your MANIFEST.SKIP and update your ExtUtils::Manifest if necessary, then some of the most common files will be excluded.
Upgrade the bundled version of Module::Install to the most current release. Alternatively, you can switch to another build system / installer that does not suffer from this problem. (ExtUtils::MakeMaker, Module::Build both of which have their own set of problems.)
Add a META.json to the distribution. Your buildtool should be able to autogenerate it.
Add all modules contained in this distribution to the META.yml field 'provides'. Module::Build or Dist::Zilla::Plugin::MetaProvides do this automatically for you.