It would help if you also explained what you want to convey with each sentence. The first is correct (although Don't should have an apostrophe and I should be capitalized) but if you mean, you won't leave them getting caught with the responsibity or blame for some act, then the idiom is "left holding the bag" rather than "baby." However, if you are actually talking about an infant, then this sentence is properly constructed.
The second sentence doesn't make sense yet. What are you trying to say here? Is someone trying to blame someone for something? Explain it a bit more and we can help with that sentence. So much of how a sentence reads is determined by its context (that is, we need more background).