While fasting if I tell someone a hadis of any of the 14 infallible or Allah, or put a hadis on my social media, without knowing actual reference, but if i feel like hadis is right, then fast is void?

Yes if you know the where this Hadith has been mentioned or the source you are getting any specific Hadith is correct then it’s ok otherwise better to avoid if you have least doubt regarding its authenticity. Things that invalidate a fast based on obligatory precaution, ascribing false things to Allah, Prophet Muḥammad (Ṣ), and the successors of Prophet Muḥammad (Ṣ) [i.e. the Twelve Imams (ʿA)]