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Let $B_{l,m}(n)$ denote the number of $(l,m)$-regular bipartitions of $n$.Recently, many authors proved several infinite families of congruences modulo$3$, $5$ and $11$ for $B_{l,m}(n)$. In this paper, using theta functionidentities to prove infinite families of congruences modulo $m$ for$(l,m)$-regular bipartitions, where $m\in\{7,3,11,13,17\}$.

Ramanujan type of congruences modulo m for (l, m)-regular bipartitions