Jesus starts by acknowledging that for a Jews’ testimony to be found true it must have two or three witnesses (Deuteronomy 19:15). The first witness Jesus calls on is John the Baptist. John proclaimed that the Kingdom of Heaven was near and that Jesus was the Lamb of God come to take away the sin of the world.
Jesus tells the Jews that he doesn’t need Human witness, but John was sent so they would believe and be saved (John 5:34). The statement that John was a lamp that burned and gave light, and they chose for a time to enjoy his light was to let them know that the hope that John spoke of they have forgotten about.
Next Jesus moves up and says that there is a witness much greater than John. Jesus states that the works He is doing testify that God sent Him. Jesus is reminding them that the reason He is on trial is because of the miracle He just performed. A miracle that only God could do!
Then Jesus tells them that the Father Himself has testified to Him, but because God does not reside in them they cannot hear. Jesus then calls the fourth witness. The scriptures testify to Jesus (Luke 24:27). Jesus is asking how can they study the scriptures looking for eternal life yet they miss that the scriptures are pointing to Him.
Jesus finishes by telling them that He is not seeking their praise. That if they truly loved God they would accept the witnesses He has provided. They are looking so much for someone that if someone came on their own authority they would accept them, but they are missing the one God has sent.
Now Jesus brings His last witnesses and puts them on trial. Jesus tells them that Moses will accuse them, because he prophesied of Jesus and they are ignoring it.