Addressing the remnant (house) of His people, Yahweh reminded the Judahites that He had carried Israel (as a burden sometimes) throughout her history (cf. Isaiah 63:9; Exodus 19:4; Deuteronomy 1:31; Deuteronomy 32:11; Psalm 28:9), and He would continue to do so. This, of course, is the opposite of what the Babylonians had to do to their idols ( Isaiah 46:1-2). The Israelites had never carried Him, but it was Hebrews , and only Hebrews , who had always carried them. [source][source][source]
"Normally, we expect that as children reach maturity, they do not need to be carried any longer. Furthermore, there usually comes a time when the child must begin to carry the aged parent. This is where God transcends the imagery. There will never come a time when we outgrow our dependence on God.... Nor will there ever be a time when a doddering old grandfather-God will somehow need to lean on us, and we will need to find a young, virile god for a new age." [1][source]