This appears to be a red-leaved cultivar of Cordyline cv. though it might be an unusual form of Dracaena. In either case, culture is similar. Grow in bright light and well-drained soil conditions. Water regularly, but let the soil partly dry before the next irrigation.
Fertilize occasionally with a complete, liquid fertilizer.
Your plant appears to appears to be in decent health. It is good that you repotted it. Does its new container have drainage holes?