Neither the CPA nor the CA is a 'degree'. It is a designation or statutory title awarded to those who pass an exam set by a particular professional body. In the US that body is the American Institute of Certified Public Accountants and in India it is the Institute of Chartered Accountants in India (ICAI).

'The CPA Council is responsible for the CPA program and regulation of the CPA profession'
A footnote also declares that:
'The ICFAI University Tripura is mandated by law to offer the CPA program and confer the CPA designation. DAT, CPA and Certified Public Accountant are registered trademarks'.
Yes, but whose? I do not know the intricacies of the law - perhaps it is possible to register any trademark in India as long as the foreign trademark holder has not filed for it yet. But what if the American CPA Institute - which is in existence since 1896 - objects?
There were smalltimers who registered trademarks like Pizza Hut, before it entered India, who were forced to shut shop later.
But even if it is legal for you to register a trademark like CPA because the American CPA institute does not care to enter India or object, it is still ETHICALLY wrong.
This is sad because the intent behind the new course is good. There is growing interest in the CA profession but all aspirants cannot and will not pass the exam. On the other hand there is a growing demand from companies large and small for competent accountants - not necessarily CAs. Just smart people with knowledge of accounting.
ICAI itself has decided to start a new course that will create 'accounting technicians'.
There are also private institutes like Institute of Computer Accountants who run courses which create 'Certified Industrial Accountants'.
But no, ICFAI could not think of ANY other acronym for its course...
And it is a mere coincidence that they also have a course called CFA.
Which has nothing to do with the CFA awarded by the CFA Institute headquartered in Charlottesville, Virginia offering the CFA exam since 1963. The one which has 83,000 members in 129 countries and is highly valued in the investment banking and finance communities.
Now courts have been deliberating over this Phoren CFA vs Indian CFA question for years. Sometimes they tilt this way and sometimes that. The end result is that students are confused although the finance community knows its apples from its oranges.
As Piyul Mukerjee notes in her blog:
I-Banks such as Accenture, Lehman Brothers, E & Y give a far different weightage to who they see as the actual CFA charter holder - a crazily tough place to get into and then get through its exams, where even chartered accountants and IIT engineers are known to fail - as versus these tom-tomming media and space hoggers. God knows if the Tripura one is at all entertained by the international finance institutions. It would be interesting to see how these two CFAs measure up against each other, in -say - a third exam.
It may not even be necessary to make this comparison - the Indian CFA may well have its merits. But why use the same acronym and always be seen as a wannabe?
It's the same story all over again with the 'Indian CPA'. You can go ahead and do the course but be warned it will NOT be recognised or have value in the US of A. It is not that CPA.
I'm sure ICFAI is willing to fight another round of court battles, if necessary. They may even win on paper... but in the quest to be seen as a serious academic institution they have lost already.