What is the meaning of John 14:11?

Believe me that I [am] in the Father, and the Father in me: or else believe me for the very works’ sake. (John 14:11 KJV)

Believe me that I am in the Father, and the Father in me: or else believe me for the very works’ sake. (John 14:11 ASV)

Believe *me* that I [am] in the Father and the Father in me; but if not, believe me for the works’ sake themselves. (John 14:11 DBY)

believe me, that I [am] in the Father, and the Father in me; and if not, because of the works themselves, believe me. (John 14:11 YLT)

Believe me that I am in the Father, and the Father in me; or else believe me for the very works’ sake. (John 14:11 WEB)

Interlinear

Believe <pisteuo> me <moi> that <hoti> I <ego> am in <en> the Father, <pater> and <kai> the Father <pater> in <en> me: <emoi> or else <ei de me(ge)> believe <pisteuo> me <moi> for <dia> the very <autos> works <ergon>’ sake. <autos> (John 14:11 KJV)

Albert Barnes’ Commentary

Verse 11.  Believe me, &c. Believe my declarations that I am in the Father, &c.  There were two grounds on which they might believe; one was his own testimony, the other was his works.

Or else. If credit is not given to my words, let there be to my miracles.

For the very works’ sake. On account of the works; or, be convinced by the miracles themselves. Either his own testimony was sufficient to convince them, or the many miracles which he had wrought in healing the sick, raising the dead, &c.