Here are the sentences with mistakes identified and corrections made:

1. **There is a concert on Saturday. I am wanting to go.**
Correction: I want to go.

2. **My parents are making dinner at the moment.**
(Correct)

3. **I think you are likinding.**
Correction: I think you are liking.

4. **I don't understand this exercise.**
(Correct)

5. **We’re wanting to tell you what we think of Rio de Janeiro.**
Correction: We want to tell you.

6. **Every day, we are eating soup.**
Correction: Every day, we eat soup.

7. **Anna goes to college on weekday. She learning English this term.**
Correction: She is learning English this term.

8. **I didn't like the weather last week because it is so hot.**
Correction: because it was so hot.

9. **The tram leaves 30 minutes ago.**
Correction: The tram left 30 minutes ago.

10. **Last year, Martin's family goes to Paris by train.**
Correction: went to Paris by train.

**The TWO correct sentences are:**
- Sentence 2: My parents are making dinner at the moment.
- Sentence 4: I don't understand this exercise.