Concept:
This question checks knowledge of important Indian Acts and institutions along with their establishment years.
Step 1: Identify the year of formation of NITI Aayog.
NITI Aayog was established in:
\[
2015
\]
Thus:
\[
A \rightarrow III
\]
Step 2: Identify the year of the Human Rights Act.
The Protection of Human Rights Act was enacted in:
\[
1993
\]
Thus:
\[
B \rightarrow IV
\]
Step 3: Identify the year of Lokpal and Lokayuktas Act.
The Lokpal and Lokayuktas Act was passed in:
\[
2013
\]
Thus:
\[
C \rightarrow II
\]
Step 4: Identify the year of the Child Rights Act.
The Commissions for Protection of Child Rights Act was enacted in:
\[
2005
\]
Thus:
\[
D \rightarrow I
\]
Step 5: Write the complete matching.
The correct sequence becomes:
\[
A-III,\; B-IV,\; C-II,\; D-I
\]
Step 6: Conclusion.
Therefore, the correct answer is:
\[
\boxed{A\text{-}III,\; B\text{-}IV,\; C\text{-}II,\; D\text{-}I}
\]