How much important is academic career of writer of recommendation letter?

My question is about academic career of a professor who would want to write a recommendation letter for someone. Some professors in my university have better academic career than others, for example they would have graduated from better/more well-known/higher ranked universities around the world, better resume/CV, higher GPA in MSc. and PhD, etc.

Question: Does a stronger professor's letter of recommendation raise someone chance for his/her application to be accepted?

Some basic contexts:

• Apply in PhD program in computer science


• Apply for US universities