Expert SEO needed. Do you know how to add or change terms that show in Google Suggest?

A low traffic 3 word keyword term (company name) is showing a google suggest that is a negative term when users start to type in the company name. We need to alter google suggest to show other terms when you type in our company keyword in google.

for example. if company name is ABC Cool Company and google suggest is showing term "ABC cool company is not cool" we need to add more google suggest terms above this item or try to remove the negative item from google suggest.

You must have proven experience that you can do this. Please explain your process with your bid amount.