Crossover counter moves

so I been practicing counters for certain moves and one of them is a crossover and if my defender moves with the crossover I would go between the leg to quickly switch direction, however I’m not sure if I should swing my leg like u normal do for a crossover and drive, just getting into a btl position is quick difficult though a crossover Or is it you complete the crossover with your swing leg planted and get your other leg arcoss so u are in a normal stance kinda like a crossover jumper and then btl