In The Bible, who is "The Gospel of Luke" and "Acts" written to?

This is a very interesting question which many critics
have debated endlessly. What becomes clear, however, if you read their ideas, is that
the supposed recipient, whom Luke himself names in Luke: 1:4, Theophilus, is probably a
name given for a general believer (it means friend of God) rather than a specific
individual that both Acts and Luke were addressed
to.

Critics seem to agree that the themes and what is
included and excluded within Luke and Acts suggests that these two books were sent to a
Gentile audience, given the importance of Gentiles in these books. The fact that Luke
removes Jewish customs and language, in comparison with Matthew, for example, suggests
that they were an audience with little knowledge about Jewish culture. The audience is
familiar with the Old Testament in Greek, as Luke's frequent quotations are from the
Greek version of the Old Testament. The name, Theophilus, suggests that the audience is
already Christian.

Adding this altogether suggests that
Luke's intended audience would be god fearing Gentiles by birth but with interest in the
Jewish religion. Consider how Acts 10 for example includes prominent believers like
Cornelius who would encourage such people to become followers of
Jesus.