I installing “@awesome-cordova-plugins/bluetooth-serial” with npm i @awesome-cordova-plugins/bluetooth-serial, run command npx cap sync, but on log not showing cordova plugins, just capacitor plugins found, when I install app on device, showing the next message “plugin not installed”
Somepeople that use cordova plugin in project capacitor 5 for help me, please!
The awesome-cordova-plugin is just a wrapper around the actual Cordova plugin.
Did you also run the following (source):
ionic cordova plugin add cordova-plugin-bluetooth-serial
Thanks a lot, but for install a cordova plugin on capacitor projeto I run
npm i --save-dev cordova-plugin-bluetooth-serial
npx cap sync
after in log appear plugin cordova installed

This is what I usually do too and thought it was odd the documentation showed differently 
Glad it is working for you now!