Twitter doesn't have the balance sheet for a leveraged buyout. No hard assets and money-losing.
Google or Facebook could buy Twitter for cash, but it's not clear it would be a good investment. It would be better to wait for Twitter to fail and then pick up the pieces at a huge discount.
With a leveraged buyout, you can go as low as 20% in cash and finance the rest with loans you put on Twitter's balance after the acquisition.
Or the acquiring company can issuing new shares and using those to pay Twitter shareholders.