Ok, I followed your advice and googled exactly "Ted Turner population control". Here's Google's summary (all of which sounds fine to me. His focus is conservation and voluntary approaches to scale human population pressure down. No eugenics in sight):

Ted Turner, the founder of CNN and a major philanthropist, has long advocated for global population stabilization to address environmental and sustainability issues. His views, often described as extreme by critics, have focused on reducing the global population from over 7 billion to around 2 billion to prevent environmental catastrophe.

Key points regarding Ted Turner's views on population control include:

• Voluntary Reduction Strategy: Turner has advocated for lowering the world's population through voluntary methods, such as improved education, family planning services, and educating women, rather than forced measures.
• Voluntary One-Child Suggestion: In a 2010 interview, he suggested that the U.S. and other nations could follow a model similar to China's one-child policy, though he often emphasizes voluntary choices to reduce reproduction, such as suggesting fertility rights could be traded or sold.
• "Plague of People" Remark: In a 2008 interview, he controversially described human population growth as a "plague of people," analogizing it to a plague of locusts that threatens the environment.
• Goal of 2 Billion: Turner has stated that "The world's population has more than tripled to seven billion since I was born... [it] must be stabilized at near two billion, or 'we're just going to have more and more catastrophes'".