Is it necessary to raise the hands when performing the takbir for the prostrations of forgetfulness (sujud al-sahw)? And upon recalling with certainty, after the taslim, that a rak'ah or a prostration was missed, should one say the takbir and raise the hands when re-entering the prayer? What is the permissible timeframe for doing so instead of repeating the entire prayer?

Raising the hands is not required in the prostrations of forgetfulness (sujood al-sahw), which consist of two prostrations separated by a sitting, and their form and description are the same as the prostrations of prayer. If one forgets a unit (rak'ah), they should return to it, unless a long period has passed by custom or by leaving the mosque. They should intend to complete it, say the takbeer, and it is recommended to raise their hands.