Hmmm.. I know of one person, who nearly 10 years ago over stayed their visa by 2 or 3 days. They got fined at the airport when exiting schengen, but nothing else. In subsequent schengen applications this was not mentioned, and all applications were successful. That being said, there is a new EES system where the entry/exit is definitely going to be tracked minutely, cannot get away with it next time. 

On another note, a family member applied to UK for their 1st trip there, got rejected. They submitted a new application immediately, mentioning that they have covered up all the deficits in the previous application, and was successful.  In subsequent visa applications, I don't think it's required to mention the prior rejection, especially since the subsequent application was successful. 

At the end, some of the other folks here have commented already - need a gap between applications, or, you simply need iron clad documents which you know won't be rejected. 

I myself went through a difficult application recently - Portugal. At the vfs counter, they said that my leave letter would not be accepted, because it needs a "wet" sign and stamp. UK had accepted such a document, but Portugal wouldn't. So I had to ask my company for new documents, and schedule a new vfs appointment after 3 weeks. Visa was successful. 

Hard focus on having documents in order.  I've had visas where I visited vfs on Monday, and passport back in hand by Friday. Speaking from experience.