Drash Kada's parents where a rare pair of Bajorans that had joined the Terran Rebellion instead of siding with the Klingon-Cardassian Alliance. As thanks, the new Empire gave them high positions, and Kada was allowed entrance into the new Imperial Starfleet.
Much like her Federation counterpart, Commander Drash was made first officer of the ISS Constance right out of the Academy. The Constance conquered at least 10 systems while she was on board, and went to the main universe with the Quantum Singularity Drive.
Commander Drash at this point showed a strong animosity towards the captain, and attempted to start a mutiny against her.