A frequent misinterpretation of this passage is to insist it mandates rebaptism for anyone not baptized using the exact phrase 'in the name of the Lord Jesus,' such as those using the Trinitarian formula from Matthew 28:19, ignoring the specific context where these disciples were not yet Christians but only followers of John's preparatory baptism without knowledge of Jesus or the Holy Spirit, thus not addressing valid Christian baptisms.
Acts 19:5
King James Version (1769)
5 When they heard this, they were baptized in the name of the Lord Jesus.
Acts 19:5 reveals the core truth that upon hearing the gospel of Jesus Christ, believers who had previously only received John's baptism of repentance immediately responded in faith by being baptized in the name of the Lord Jesus, signifying their full commitment to Christ as the fulfillment of John's ministry and entry into the Christian covenant through identification with His person and work.