Thurles Town are also through to the last 16 courtesy of a 4-1 victory at Shannon Hibernians.
However, Tipperary Town are out of the provincial competition.
Dungarvan United beat them 4-2 in Waterford.
Tipperary Town's manager Brian Glasheen says hunger has played a huge role in the club's meteoric rise.
They were only formed at the turn of decade but have progressed to such an extent that they're enjoying a successful first season in the TS&DL Premier Division.