  In this work, we study the function $B_{s,t}(n)$, which counts the number of
$(s,t)$-regular bipartitions of $n$. Recently, many authors proved infinite
families of congruences modulo $11$ for $B_{3,11}(n)$, modulo $3$ for
$B_{3,s}(n)$ and modulo $5$ for $B_{5,s}(n)$. Very recently, Kathiravan proved
several infinite families of congruences modulo $11$, $13$ and $17$ for
$B_{5,11}(n)$, $B_{5,13}(n)$ and $B_{81,17}(n)$. In this paper, we will prove
infinite families of congruences modulo $5$ for $B_{2,15}(n)$, modulo $11$ for
$B_{7,11}(n)$, modulo $11$ for $B_{27,11}(n)$ and modulo $17$ for
$B_{243,17}(n)$.
