The phrase "a new and evolving" is correct and usable in written English.
It can be used to describe something that is currently developing or changing, often in a positive or progressive manner.
Example: "The technology sector is characterized by a new and evolving landscape that constantly adapts to consumer needs."
Alternatives: "a fresh and developing" or "an innovative and changing".
Chic took office in January 1982, a time of "tobacco wars" and a new and evolving terrifying disease that we ultimately came to know as AIDS.
This is a new and evolving process for us.
"Blu-ray Disc is a new and evolving format," the user manual says.
Use of a modified virus as a vector to deliver H.I.V. genes is a new and evolving way to make an AIDS vaccine.
Such aggressive bulldozing is part of a new and evolving approach to healing forests destroyed by decades of surface coal mining in Appalachia, from Alabama to Pennsylvania.
Hollow composite post insulators, a new and evolving technology, have a very complex mechanical behavior due to their materials and connections.
I believe that standards in such a new and rapidly evolving discipline as computational molecular biology should also evolve to reflect the unprecedented data growth.
Little remains of the metropolis where my grandma spent her youth, but during the last 25 years I've discovered a new and rapidly evolving city.
Nonlocal transport theories is a new and rapidly evolving field of study in the earth sciences and is anticipated to bring new insight into the interpretation of observations and lead to the development of a broader class of models that can explain the stochastic and complex behavior of geomorphic systems over a broad range of space time scales.
These investigations were the starting point of a new and rapidly evolving asymmetric (L_{p} -Brunn-Minkowski theory (see [13–32]).
General (L_{p} -projection bodies are a centraL_{p} -projection and rapidly evolving asymmetric (L_{p})-bodiesMinkowski theory (see [14, 15, 30–47]).
