Recently, my daughter and I have been studying the book “destination B1”. We try/will try to finish it before the Lunar New Year. Despite also studying the book B2, it is still useful to study again and again a good book.

Recently, my daughter and I have been studying the book "Destination B1". We will try to finish it before Lunar New Year. Though studying "Destination B2", I still find it useful to return again and again to what is a good book. What is a "book destination"? By failing to put the title of a book in quotes, italicizing it, or underlining it, you create something nonsensical. You also must capitalize every word of a book title, except for minor words like 'of', 'the', etc. What does the adjective phrase "being on study" modify? Who or what does it describe? Who or what is being on study? You? The book? The sentence makes no sense. I am guessing that you intended the phrase to modify yourself. You can say "I and my daughter" but "my daughter and I" is more common and sounds a little bit better. I would only put "I" first if I wanted to emphasize myself for some reason.

Recently, my daughter and I have been studying the book called "Destination B1". We try to finish it before the Lunar New Year. Despite also being currently studying the book "Destination B2", we believe it is still useful to keep studying other good books.