After marital relations you are in a state of ritual impurity (called Janaba where recitation of Qur’an is not allowed) which is different from the state of menstruation. During menstruation even though there is a difference of opinion you are allowed to recite Qur’an without touching it physically. Some ulema even encourage it.
You have to take a ghusl to lift/reduce the ritual impurity that was a result of intercourse. This way during your menstruation you can recite the Adhkaar or recite Qur’an during your menses.
Shaykh Abu Eesa answers and explains..