Assuming that a non-Jew chose to create a genetically engineered parah adumah (red heifer) and further assuming it met all the halachic requirements --no two black hairs, hadn't been used for work etc. -- would such an animal be deemed usable to create the ashes of a parah adumah?
In short :The talmud in Bechorot stats that "kol hyotze M'htahor - tahor" means - if it came out of a cow, it is a cow, even if it is not look like one, how much more so if it's look like a cow.
Long explenation: The Gemara on Bechorot 5:B stats: תנן התם רחל שילדה מין עז ועז שילדה מין רחל פטור מן הבכורה ואם יש בו מקצת סימנין חייב מנא הני מילי אמר רב יהודה דאמר קרא (במדבר יח, יז) אך בכור שור שיהא הוא שור ובכורו שור בכור כשב שיהא הוא כשב ובכורו כשב בכור עז שיהא הוא עז ובכורו עז יכול אפי' יש בו מקצת סימנין ת"ל אך חלק
How much more so if it is a proper looking cow, that came out of cow's womb.
The book 'Thinking aloud' records that Rav Soloveitchik was asked if a cloned human would have the halachic status of a human. He answered no. We can diffrentiate between humans and animals though, if we assume cloning has the same halacha as being made with the seffer yeyzira. There is a famous tshuva from the Chacham Tzvi, mentioned in the Mishnah Berurah, where he says a person made from the seffer yetzira is not a human, but rather an animal in the form of a human, therefore he cannot be counted for a minyan. We can infer from his words that this creature is at least an animal though.
At a genetic level a heifer cloned is still a heifer. A heifer with genes modified to produce red pigmentation is a red heifer. However, the process by which it came to be may invalidate the sacred rarity that the red heifer is. Red heifers are hard to find in nature, and being able to produce them in masse might not bestow them with the halakchic requirements.