Congruences for [j,k] - overpartitions with even parts distinct

Let (ped) over bar (j,k) (n) denote the number of [j, k]-overpartitions of a positive integer n with even parts distinct and the first occurrence of each distinct part congruent to j modulo k may be overlined. In this work, we have establish many infinite families of congruences modulo powers of 2 for (ped) over bar (3,3) (n) and (ped) over bar (3,6) (n). For example, for any n >= 0 and alpha, beta >= 0, (ped) over bar (3,6) (8 center dot 3(4 alpha+2) center dot 5(2 beta+2)n + c(1) center dot 3(4 alpha+1) center dot 5(2 beta+1)) 0 (mod 64), where c(1) is an element of {23, 47, 71, 119}.