hey,

i hope you are well

yes three college of  lucknow university do offer B.A+B.Ed integrated course  , colleges are

1.  AKG college ,lucknow

2. aryavart institute of higher education ,lucknow

3. sardar bhagat singh college of higher education , lucknow

for more information kindly refer to the link mentioned below

https://dqxeclau.top/university/university-of-lucknow-lucknow/courses?degree=11

good luck!