Hi Zmouth,
In my first book, O Theophilus, I wrote about all that Jesus began to do and to teach, until the day He was taken up to heaven, after giving instructions through the Holy Spirit to the apostles He had chosen. After His suffering, He presented Himself to them with many convincing proofs that He was alive. He appeared to them over a span of forty days and spoke about the kingdom of God. " (Acts 1:1)
"Many have undertaken to compose an account of the things that have been fulfilled among us, just as they were handed down to us by the initial eyewitnesses and servants of the word. Therefore, having carefully investigated everything from the beginning, it seemed good also to me to write an orderly account for you, most excellent Theophilus, so that you may know the certainty of the things you have been taught."
It appears that, the writer of Acts was the same writer of Luke, writing to the same person of Theophilus. That said, the book of Luke is credited with the writer of the same name and he is writing to the same person in Acts, Theophilus. Also, both the books of Luke and Acts display none of the characteristics of Paul's writing. (Luke 1:1)
Just saying ....