Subsequent conflicts between the East African armies and the Rwandan Kingdom and Ijara Kingdom were uneventful, facing little resistance; in fact, some indigenous inhabitants had already fled before the East African army arrived.
Learning from the example set by the nobility of the Burundi Kingdom, Rwanda and Ijara chose not to fight to the death with the East African colony but to relocate and start anew.
Look at the nobles of Burundi and Karaveli now, fleeing like dogs, heading all the way to the borders of Rwanda and Ijara, with most of their servants gone, taking much wealth with them.
Given the current state of the Rwandan and Ijara Kingdoms, the leadership lacks confidence in resisting the East African colony's assault, and it's unlikely the colony would accept their surrender. So, they might as well leave early.