Sure, here are the correct forms of the verbs to complete the sentences:

1. My mother **has** a very healthy lifestyle. (have)
2. Do you want **to eat** some burgers? (eat)
3. My children enjoy **drinking** soda although they are not good for their health. (drink)
4. The students **are having** lunch at the cafeteria now. (have)
5. Should I **take** some vitamins because I often feel tired? (take)
6. Peter **was** sick yesterday because he ate a lot of junk food. (be)
7. What **did** you **eat** last night? (eat)
8. My doctor advised me **not to stay up** late. (not stay up)
9. **Doing** morning exercise regularly is a good way to keep fit. (do)
10. You shouldn't **buy** this type of food because it's unhealthy. (buy)