Concept:
To arrange the Yogis in reverse order of birth years, we must place them from the most recently born to the earliest born.
These spiritual personalities are important contributors to Yoga, Vedanta, spirituality, and modern Indian philosophical thought.
Step 1: Recall the birth years of the given Yogis.
\[
\text{Satyānanda Saraswati} \rightarrow 1923
\]
\[
\text{Yogananda} \rightarrow 1893
\]
\[
\text{Swami Kuvalyānanda} \rightarrow 1883
\]
\[
\text{Maharishi Arvinda (Sri Aurobindo)} \rightarrow 1872
\]
\[
\text{Ramkrishna Paramhamsa} \rightarrow 1836
\]
Step 2: Arrange them in reverse chronological order.
Reverse order means:
\[
\text{Latest birth year} \rightarrow \text{Earliest birth year}
\]
Thus:
\[
1923 \rightarrow 1893 \rightarrow 1883 \rightarrow 1872 \rightarrow 1836
\]
Corresponding names:
\[
\text{Satyānanda Saraswati}
\rightarrow
\text{Yogananda}
\rightarrow
\text{Swami Kuvalyānanda}
\rightarrow
\text{Maharishi Arvinda}
\rightarrow
\text{Ramkrishna Paramhamsa}
\]
Step 3: Match with the given letters.
\[
E = \text{Satyānanda Saraswati}
\]
\[
C = \text{Yogananda}
\]
\[
A = \text{Swami Kuvalyānanda}
\]
\[
B = \text{Maharishi Arvinda}
\]
\[
D = \text{Ramkrishna Paramhamsa}
\]
Therefore, the correct arrangement is:
\[
\boxed{E, C, A, B, D}
\]
Step 4: Identify the correct option.
The option matching the correct sequence is:
\[
\boxed{\text{E, C, A, B, D}}
\]
Hence, the correct answer is:
\[
\boxed{(A)}
\]