I have been involved in tech acquisitions both on the side of investor and on the side of the tech company.
The process by which the acquiring investor analyses the potential asset is called 'due diligence.' In tech, this process is usually split into three areas: legal, financial and technical. Legal will look into the contracts between the company and its trading partners and various things in that area. Financial will look into the books and make sure nothing is being cooked. The distinction between Financial and Legal is usually blurred. Technical is more about the operations, whether their business idea has a future, etc.
I have never seen anyone look into the resumes of anyone but key individuals. The management team, the directors.
You have a number of things in your favour.
1) Tech acquisitions are these days nearly always about back hand pump and dump get rich quick schemes for the owners and buyer-firm individuals. They grow the company in non-organic debt-driven ways, sell to a larger company who eliminates competition, while everyone involved gets to buy a yacht and live a little richer than they were before.
2) If you are even remotely connected to one of the seller management, eg: if it was the CEO you bullshitted into the position, you will most definitely be asked to shut up while the transaction goes through. If you played your cards right you could even squeeze something out of this, without proposing anything like blackmail of course.
3) Your morality sits very well with most of the people I have ever met involved in company growth and sale. They will respect you for your enterprising attitude.
So, 'just got bought out' means the transaction is still probably ongoing. Shares and performance related bonuses are still in the works. Key management will be on deals like 'you will get your payout if you work 2 years and the company meets these profit targets' etc etc.
My advice: you won't get background checked now because if you were important you would have been checked out during Due Diligence. But make sure you keep your mouth shut for at least 2 years at that company, or take your experience there and make a clean break. EDIT: you having posted this question on a site popular with tech employees rather inclines me to suggest the latter.