6:64a

However, there are some of you who do not believe: Although Jesus’ words bring life, this clause indicates that not everyone believed his message. Even among the larger group of his disciples, some people doubted him.

Here are other ways to translate this clause:

Yet there are some of you who have no faith. (Revised English Bible)
-or-
But some of you do not believe me. (New Living Translation (2004))

However: The Greek conjunction that the Berean Standard Bible translates as However here introduces a contrast. Although Jesus’ words were from God’s Spirit, not all his disciples trusted him.

do not believe: When the word believe is used without an object, it is usually a short way of saying “believe in Jesus.” So this word includes the idea of believing the facts about who Jesus was and what he did. But it also includes the idea of trusting Jesus instead of trusting oneself or someone else. Both ideas are very closely related. If someone believes the facts about Jesus, it should result in trusting him. See how you translated this idea in 6:47b. Here are other ways to translate this idea:

refuse to have faith in me (Contemporary English Version)
-or-
do not trust ⌊in me⌋
-or-
do not believe ⌊in me⌋
-or-
do not believe me (New Living Translation (2004))

6:64b–c

This is a parenthetical statement that explains Jesus’ comment in 6:64a. You should introduce and present it in a way that is natural in your language. You may want to use parentheses. For example:

(Jesus knew from the very beginning who were the ones that would not believe and which one would betray him.) (Good News Translation)

6:64b

For Jesus had known from the beginning which of them did not believe: This statement indicates that Jesus knew if people believed in him (or believed his teaching) even before they criticized his teaching.

Here are other ways to translate these clauses:

For Jesus had already known from the beginning who those were who did not believe. (NET Bible Bible)
-or-
Jesus said this, because from the beginning he knew who would have faith in him. (Contemporary English Version)

from the beginning: This phrase probably refers to the time when disciples first began to follow Jesus.

Here are other ways to translate this phrase:

from the first (New Revised Standard Version)
-or-
from when he started ⌊to teach people⌋
-or-
all the time ⌊that he was making/teaching disciples⌋

did not believe: This phrase has the same meaning as “do not believe” in 6:64a. See the note there and how you translated that phrase.

6:64c

and: The conjunction and here introduces a second thing that Jesus knew from the first, from the time when he began to make disciples.

who would betray Him: The second thing that Jesus knew from the first was that one of his disciples would betray him. This disciple was Judas Iscariot. The name is not included here, and you should not include it in your translation. Here are other ways to translate these clauses:

who it was who would betray him (NET Bible Bible)
-or-
which one would betray him (Good News Translation)

betray: The Greek word that the Berean Standard Bible translates as betray here refers to handing over someone to his enemies. In this case Judas would lead the Jewish authorities to Jesus so that they could arrest him.

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