In the NT the concept is of putting things in order. John the Baptist (in the role of the new Elijah) has done that (Mark 9: 12), in the sense of having accomplished his mission successfully. The writer to the Hebrews (Heb. 13: 19) hopes to be ‘restored’ to the readers, either by being released from prison, or perhaps by a simple return visit.
The idea of a ‘universal restoration’ (Acts 3: 21) when God will re-establish the whole cosmos to its initial state of perfection (Rom. 8: 21) is expressed in terms of a new heaven and a new earth (Rev. 21: 1) and the salvation of all (Rom. 5: 18).