What is the equivalent phrase of the figurative 'red meat' in Chinese? 'Red meat' literally means 紅肉 (e.g. beef, lamb) in Chinese, but it is typically used in a figurative sense in political commentaries. For Example: "His outrageous statements are red meat for his supporters" 


  http://www.thefreedictionary.com/red+meat
  
  red meat
  
  n.
  
  
  Meat, such as beef or lamb, that is dark red before being cooked.
  Language or discourse intended to stir the emotions of a given group, especially by appealing to or reinforcing partisan sentiments.
  


I do not believe that Chinese speakers use '紅肉' figuratively like English speakers use 'red meat' in English. 

'投其所好的言論' would be my translation of the figurative 'red meat', but I wonder is there a Chinese counterpart of this term.
I believe the verb 「挑動」, 「煽動」 or 「蛊惑（人心）」 might match the definition "to stir the emotions" in your dictionary, if you need derogatory terms.

「投其所好」 and 「奉承」 are about flattering someone.