Final answer:
The two common objective signs of otitis media are moderate to severe bulging of the tympanic membrane and otalgia (ear pain).
Step-by-step explanation:
The two common objective signs of otitis media are moderate to severe bulging of the tympanic membrane and otalgia (ear pain). When pus accumulates in the middle ear, it is unable to drain, resulting in the bulging of the tympanic membrane. This can be observed during a physical examination. Additionally, the ear pain experienced by the patient is another objective sign of otitis media.