  Let $(N_{n})_{n\ge 0}$ be Narayana's cows sequence given by a recurrence
relation $ N_{n+3}=N_{n+2}+N_n $ for all $ n\ge 0 $, with initial conditions $
N_0=0 $, and $ N_1= N_2=1 $. In this paper, we find all members in Narayana's
cow sequence that are palindromic concatenations of two distinct repdigits. Our
proofs use techniques on Diophantine approximation which include the theory of
linear forms in logarithms of algebraic numbers and Baker's reduction method.
We show that $595$ is the only member in Narayana's cow sequence that is a
palindromic concatenation of two distinct repdigits in base $10$.
