In general, it is not recommended to put a cake back in the oven to finish cooking after it has been taken out. Once a cake has been partially baked and then removed from the oven, the structure of the cake may have already set, and the sudden change in temperature can lead to uneven baking or a collapsed cake.
If you find that your cake is undercooked after taking it out of the oven, it's best to let it cool completely and then assess the texture. If the cake is slightly undercooked but still edible, you can continue to enjoy it as is. However, if the cake is significantly undercooked and you do not wish to serve it in its current state, it's usually better to consider it a baking mishap and start fresh with a new cake.
To avoid this situation in the future, it's important to follow the recipe instructions carefully, ensure your oven is preheated properly, and test the cake for doneness using methods such as inserting a toothpick into the center and checking if it comes out clean. This will help ensure that your cake is baked evenly and thoroughly.