Thank you all, Michelle20, Sheena55ro, and MrPedantic.
(a) comes from
The Grammar Book, and (b)
A Student's Grammar in English Language(almost similar name).
According to the books, (a) is ungrammatical, so it needs 'do' before 'too' and
(b) is o.k., so it doesn't to be corrected, which makes me confused.
Thanks to your impressive responses!
Have a nice day!
Spoon