Hello, hope you are doing good.
The syllabus for the entrance of B.A llb in LU is similar to CLAT and if you have time you must purchase materials provided by many coaching centres as it'll would help you . Also, you must practice more of papers and mocks. Also study more on logical and aptitude portion as in that you can score more. And, for the purpose of general knowledge, any standard book may be referred.
Dear khushi,
There is no specific book you need to look which can provide you with good scores in the Lucknow University Entrance Exam. You can look at the previous years entrance exam papers and do mock test which can help in your preparation.
This is the link for sample paper: https://university.careers360.com/download/sample-papers
All the best
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