Am i held liable?

Will i be held liable if i vacate the apartment im subleasing from a month earlier than when it's supposed to end if this is the situation:

Management and i were both unaware that I wasnt the official sublease tenant. the master tenant didnt submit the paperwork that had a 30 day shelf life in time. After i informed him im leaving because i didnt want to stay there illegally, he powered through and submitted our original sublease application without my consent and after ive clearly said im not stayin. Management just approved it 2 days before my scheduled move after I have already signed with another bldg.

The master tenant has not returned any of my texts, emails or phones and ive involved the paralegal of his bldg of which he hasnt returned any contact back.

Do I understand correctly:

You signed an agreement with the master tenant to sublet.
That agreement ends in another month.
Management became aware of you as a subtenant.
They notified you that your subtenancy wasn't authorized or approved by them.
The master tenant then submitted your paperwork to management.
Management approved you as a subtenant.
But now you no longer want to stay there because you went ahead and signed with another place?

Sorry. Whether the paperwork was approved or not by management, you have signed an agreement with the tenant of that unit. You are obligated through the end of that agreement. And since management now has given you approval, you have no reason to terminate. You will be liable if you terminate early.