搜狗很霸道百度很温柔

Here, '搜狗' (Sogou) and '百度' (Baidu) are internet companies. The phrase compares them as Sogou is seen aggressive ('very domineering') while Baidu more gentle ('quite mild-mannered'). It humorously contrasts the characteristics of these search engines or may metaphorically refer to how two different aspects or entities coexist or compete against each other within a larger ecosystem or social context.