Left Recent Job - What to do with resume?

I work in medical device sales. Long story short, I had a strong verbal offer from another company in April. Because of the nature of my job (scheduling meetings, lunches, dinners, etc with doctors), I told my current manager about the offer and I didn't want to schedule all these meetings and lunches, because I would be leaving and didn't want to sink the team. Well, the VP of the company rescinded the verbal offer because he said he wanted a female (although hiring manager wanted me..). So I was back at my job, but long and behold, 2 weeks later, have a meeting with HR and they let me go because they heard I was interviewing elsewhere. My last day of that job was 3rd week of May.

Now to my question,...I've obviously been heavily applying and interviewing. I didn't change my resume to reflect an ending date because 1. Quite frankly, I forgot to. 2. It would raise a huge red flag to the companies I'm applying to. I'm a strong candidate with great experience and success, so I am interviewing actively with 5 companies. They all think I am still an active employee at the previous job. They haven't asked many questions, if any regarding my tenure there, but I'm fearful that when I receive an offer shortly, they'll look and find out I provided false information?

What should I do here? It's a cut throat Industry, very difficult to get into, and I'm just trying to grow my career here.