"More birched" is a phrase that means receiving a punishment with a birch or switch, typically for misbehavior. Synonyms for this phrase include "more beaten," "more thrashed," "more whipped," and "more caned." Each of these words suggests a different level of severity and intensity of the punishment.
"More beaten" suggests a punishment that involves physical force and aggression. "More thrashed" implies a punishment that is harsh and brutal. "More whipped" suggests a punishment that involves a whip, typically one made of leather. Finally, "more caned" implies a punishment that is severe and typically used in schools and institutions.
Overall, each of these synonyms for "more birched" suggests a punishment that is severe and involves physical pain and discomfort.