Γεια! Είμαστε πολύ καλά.
The word "ευαγγελικός" comes from the ancient Greek word "ευαγγέλιον" which means "happy news"
ευ = good, happy
άγγελος = messenger
With the spread of Christianity the word "Eυαγγέλιον" was used to indicate the Gospel because it brought good news about the future of humanity. So the word "ευαγγελικός" refers to the Gospel and to whatever is related to it. I suppose that it refers to the act of preaching as well, but a theologian is more competent to answer that.