It's not that black and white; but Wikipedia does note:
"""
In modern usage, the term engine typically describes devices, like steam engines and internal combustion engines, that burn or otherwise consume fuel
"""
Also, "electric motor" is definitely a lot more common than "electric engine":
This reminds me of how the switch to SSDs meant that we could no longer talk about our computers having a “Hard Drive” since that specifically referred to drives with spinning platters.
""" In modern usage, the term engine typically describes devices, like steam engines and internal combustion engines, that burn or otherwise consume fuel """
Also, "electric motor" is definitely a lot more common than "electric engine":
https://trends.google.com/trends/explore?geo=US&q=Electric%2...