if i do advertisement use Fb ads manager for facebook and instagram, should i do with the social media management tools to show me the results better than the Fb ads manager itself?
Yes, I think it's best you use the management tools rather than the ads because some pepole consider ads as irrelevant and some even think it's a scam
I haven't noticed any significant difference in performance between using external tools and the facebook platform that I can link to the tool itself.
Most of the time, I've realized that most startups just don't need them. If you are running large split tests (and have the budget to match), then you can get a lot out of these kinds of tools. But if you are running a few tests/day like most startups I've worked with, then these tools just don't do enough to justify cost.
Facebook is getting better at improving their ads platform, so I would encourage you to stick to the native tools until you are spending $10's of k's in ad spend.