It depends on the two states and how the taxes were withheld. You will always file a resident tax return in the state in which you live. Your resident state taxes all of your income regardless of where you earn it. What you do with the other state depends on whether they are reciprocal or not. This FAQ has more information: https://ttlc.intuit.com/replies/4776822
If the two states are not reciprocal, then you file a nonresident return for that state. Your resident state will give you a credit for the tax you must pay to the state in which you are working so that you are not over-taxed, but otherwise both states are taxing you. Prepare this return first so that TurboTax may correctly calculate your credit. Here's an FAQ to assist you with this: https://ttlc.intuit.com/replies/3302052
However, if the two states are reciprocal, how you file then depends on whether or not taxes were taken out in the state where you work. Reciprocal states agree that when you live in one state but work in the other, you are only taxed where you live and not where you worked. If no taxes were taken out to the state where you worked, you will only file your state's resident return.
On the other hand, if taxes are taken out to the work state, then you will want to file a nonresident reciprocal return for the state where you worked. This way you can get all the taxes returned to you that were paid to that state. In addition, by filling out the correct form as mentioned in the FAQ above, you can have your out-of-state employer only take out taxes to the state in which you live.
Feel free to comment your states and I can tell you if they are reciprocal or not.
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