Here is the full list of all 16 Lotus Lantern: Rescue Mother achievements.
Accumulate 10 challenges.
Accumulate 50 items purchased from the elder martial sister.
Successfully upgraded a magic weapon of your own destiny.
Helped Princess Iron Fan successfully meet with Red Boy.
Defeat the Suihu demon.
Defeat Xiang Liu.
Defeat Nezha.
Defeated Erlang Shen for the first time.
Defeated Erlang Shen for the second time.
Defeated Erlang Shen for the third time.
Successfully rescued the Three Graces.
Unlock all the skills.
Accumulated 20 times entering the resource room.
Accumulate attempts to challenge 10 challenge points.
Accumulate 50 challenge points to attempt the challenge.
Defeat the bronze stakes in the hall.