en_tn_condensed/act/22/04.md

I persecuted this Way to the death

Here "this Way" represents the people who belonged to the group called "the Way." The word "death" can be translated with the verb "kill." Alternate translation: "I persecuted the people who belonged to this Way and I looked for ways to kill them" (See: rc://en/ta/man/translate/figs-metonymy and rc://en/ta/man/translate/figs-abstractnouns)

this Way

This was a term used to refer to Christianity. See how you translated "the Way" in Acts 9:2.

binding up and delivering to prison both men and women

"tying up both men and women and taking them to prison"