Dividend distribution tax is paid by the company, not individuals. Companies generally decide the after tax dividend they want to pay and pay the taxes due to the government. But there could be different ways to look at it especially for companies with higher payout.
Andyes, the tax liability on the companies will increase due to the change in taxation. Earlier it was 13% on pre tax amount (13/87 = 14.9% on the dividend that we recieve). Now it is 15% on pre tax amount (15/ 85 = 17.6% on the dividend we recieve).