ANSWER:

It is a highly recommended Sunnah and Umar (radi allahu anhu) revived this Sunnah.

Kindly refer to the following link(s):  

 

Is Tarawee proven from Sunnah of Mohammad SAW or is it a Bidah invented by Umar RA, If it is sunnah of Mohammad SAW, then what is the story of Umar RA starting it in which he also said something like “this is a good bidah”. please give refrence if possible.

Taraweeh, Tahajjud and Qiyam-ul-Layl | June 1, 2018 4:48 am
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if i pray tarawee immediately after Isha during last ten nights of ramadan,have i got lailatul Qadr? Or i have to wake up and pray much later like in the second or third part of the night.
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Can we ask dua in tahjood after da salah ie;after salaam or even in tahjood we have to ask our personal dua after da tashahood (before salaam)?