what is the sentence pattern in following sentence, specificcally what is the function of 'consistent with'?

Consistent with maximizing the impact of rewards, managers should look for ways to increase their visibility.


Solution 1:

"Consistent with maximizing the impact of rewards, managers should look for ways to increase their visibility."

'Consistent' is an adjective, here meaning 'compatible', and the entire phrase before 'managers' is a parenthetical phrase, of the type called a free modifier.