There are several versions under the name Stepmother of the 1980s and Back to the 80s. This is the version from the poster, it's not the full drama but you can find the rest when you watch it because there's recommended links. Unfortunately, uses Western names for the Chinese names in the subtitles: https://www.youtube.com/watch?v=L8jAvVjJjLo&ab_channel=DramaWonderland
https://www.youtube.com/watch?v=L8jAvVjJjLo&ab_channel=DramaWonderland
This one is supposed to be original; uses Chinese names. It is the full drama:
https://www.youtube.com/watch?v=tYHJo6QK3oY&t=188s&ab_channel=%E7%99%BD%E9%A9%AC%E5%89%A7%E5%9C%BA
This one has a different cast, but same story with 3 kids instead of 2 and I think the ending is a little different based on comments (haven't watched all of it):
https://www.youtube.com/watch?v=6CSeRWktokI&ab_channel=SarahBirago
This includes all the episodes with Eng Sub.
Part I; https://www.youtube.com/watch?v=l_72_vTeZqU
Part II: https://www.youtube.com/watch?v=qC79HuDfTm8&list=PLSVk0AbFLnQOT4DobCOVP8H5k59qSeZqC&index=5