The specific steps for live-streaming and grading homework on Douyin are as follows:

1. Prepare tools and environment: First, you need to prepare a smartphone or tablet, install the Douyin app, and ensure a stable network connection. In addition, in order to facilitate grading homework, you also need to prepare a pen and a piece of paper, as well as a homework that needs to be graded.

2. Register and log in to a Douyin account: If you don't have a Douyin account yet, you need to register one first. The registration process is simple and only requires some basic information, such as your mobile phone number and email address. After logging in to your account, you need to complete your profile, set your avatar and cover, and write a short self-introduction.

3. Create a live broadcast: After logging in to Douyin, click the "+" sign at the bottom of the screen, select "Live Broadcast", and then click "Start Live Broadcast". In the live broadcast interface, click the "+" sign in the upper left corner, select "Add Props", and then select a pen and a piece of paper to grade homework during the live broadcast.

4. Invite students to participate in the live broadcast: After the live broadcast starts, you need to share the live broadcast link with students or other people who need to correct homework. They can enter the live broadcast room by clicking on the link and watch the process of you correcting homework.

5. Correcting homework: During the live broadcast, you can interact with the audience while correcting homework. For example, you can explain a problem in the homework or answer questions raised by the audience.

6. End the live broadcast: After correcting the homework, you can end the live broadcast by clicking the "End Live Broadcast" button on the live broadcast interface. After the live broadcast ends, you can save the recorded video for later viewing and sharing.

It should be noted that Douyin live broadcast of correcting homework is suitable for homework or small classes, and is not recommended for large classes. At the same time, during the live broadcast, pay attention to protecting students' privacy and do not disclose their personal information.