The topic says it all.
Which one is correct? Can I use both?
I did manage to find some evidence...
I managed to find some evidence...
Thanks a lot.
They're both acceptable. The first might be used if you wanted to emphasise your success in finding some evidence or to negate a suggestion that you did not find any evidence.
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.