For the Baha'i Faith, Muhammad was to be the Seal of the Prophets (nabi), but not the seal of the Messengers (rasul). So thus, there will be no more nabi, there will still be rasul who will bring a Message and a Book, and no more minor prophets. Baha'u'llah Himself says that there will be a Messenger who will come after Him in one thousand years. Whether this is to be interpreted literally or metaphorically, who knows, but Baha'i speculation is that such a Messenger will still be under Baha'u'llah's Revelation.
The Ahmadiyya Muslims also go around it by claiming that since Muhammad is the Seal of the Prophets, God will only send minor prophets after that under the Islamic or Muhammadan Revelation and no abrogate it entirely.
What you have percepted to be the difference between the Prophets and the Messenger, is not right and quite opposite of it I'm afraid. Messengers( Rasul) and Nabi Both were sent by Allah. I'll quote the difference by an explanation below,
The Quran has used both the words, Nabi and Rasul, which shows that there were two kinds of messengers.
>Some of the messengers were Nabi only.
>Some messengers were both Nabi and Rasool.
The difference between Rasul and Nabi is that,
>A Rasul was a messenger of Allah who was given a new Shariat (codes of law) from Him.
>And a Nabi was also the messenger of Allah, but he was not given any new Shariat and followed the shariat of earlier Rasul.
“every messenger is a prophet [Nabi], but not every Prophet is a Rasul [Apostle]. All Rasules were Nabi, but all Nabis were not Rasuls.
A Prophet is always a Nabi by birth, but a Prophet becomes Rasul when he officially receives the post and declares it. For example, our Prophet Muhammad (sws) was Nabi by birth, but became Rasul when he officially got and delivered the message of Risalat (the word of Allah) at the age of 40.
The Rasul [Apostle] receives the message from Allah Taala in many different manners such as one of which is direct communication with the angels when he is awake. i.e., he can see and speak to the angels during the communication of Divine message.
The Rasul is higher in rank than a Nabi.
Basic Belief
And another,
A study of divine scriptures reveals that there were certain persons in the past through whom the Almighty chose to guide mankind by directly being in contact with them.
Each of them was called a "Nabi" (one who delivers a message or some news).
The Almighty elevated some of his Anbiya (plural of Nabi) to a higher position called "Rasul".
The Qur’an makes a clear distinction between the two: The extent to which a Rasul unveils the truth upon his addressees is so profound and ultimate that any denial from them makes them worthy of death and destruction as a nation
Those who show hostility to Allah and His Rasul are bound to be humiliated. The Almighty has ordained that I and my Rusul shall be dominant. (58:20)
In other words, the direct addressees of a Rasul cannot triumph over him, and they must be the losers in the end. This humiliation has various forms.
In most cases, the addressees are destroyed in their capacity as a nation if they deny their respective Rusul (plural of Rasul). Take, for example, the case of Muhammad (sws). His opponents were destroyed by the swords of the Muslim believers until at the conquest of Makkah, the remaining accepted faith.
1. In the case of Moses (sws), the Israelites never denied him. The Pharaoh and his followers however did. Therefore, they were destroyed.
2. In the case of Jesus (sws), the humiliation of the Jews has taken the form of servitude to the Christians till the day of Judgment as referred to by 3:55 and 59:3.
3. The ‘Aad, the nation of the Rasul Hud (A.s), the Samud; nation of the Rasul Saleh (as) as well as the nations of Noah (as), and Lut (as) and Shu‘ayb (as) were destroyed through natural calamities when they denied their respective Rusul as is mentioned in the various surahs of the Qur’an (See for example: Surah Qamar).
In other words, Nabi (Prophet) is a general cadre and a Rasul (Messenger) a special one. As such, every Rasul is a Nabi but this is not true vice versa.
This is like saying that all Generals are army men, but all army men are not generals.
When the Qur’an says that the institution of Nabuwwat (Prophethood) has been terminated, it means that the institution of Risalat (Messenger hood) has ALSO been terminated since the closure of a general cadre automatically means that the continuity of the upper chain of prophets has also been terminated. If the above example is taken, we can say that if there is no army then there are no Generals of course.
Difference between Nabi and Rasul