in an exaggerated way, with great anger or energy
Ele começou a gritar cá mulesta dos cachôrro.
He started screaming like a madman.
The "ailment" (moléstia) of dogs would be rabies. To "have the ailment" is to act aggressively or intensely.
Falando's Idiom Trainer teaches you to recognize idiom meanings and create sentences using them, so you can speak like a Brazilian.