"increasingly more influential" is a correct and usable phrase in written English.
It is typically used to describe something or someone that is gaining more power or impact over time. Example: "The Internet has become increasingly more influential in shaping public opinion and driving political discourse."
With the advent of new synthesis and large-scale production technologies, nanostructured gas-adsorbent materials (GAM) such as carbon nanocomposites and metal-organic frameworks are becoming increasingly more influential in our everyday lives.
What makes these spare works dramatic is that, like the landscapes of Leonardo that have become increasingly more influential, they seem to exist at the beginning and at the end of time.
These initiatives are now seen as playing an increasingly more influential role in the way today's health professions students assimilate information and learn within an educational setting.
Both weights behave anti-cyclically and the observed oscillation grows as a consequence of the increasingly more influential auto-correlation term.
As YouTube grows larger and more influential, there are increasingly questions about whether the service should be able to operate outside of traditional rules governing advertising on television.
As the anti-Buddhist perspectives of these texts came to be ever more influential throughout the seventeenth century, an increasingly common theme in Japanese Neo-Confucian discourse was its relationship, positive or negative, to Buddhism.
And older women – once largely invisible and overlooked in fashion –- have become increasingly central to the style zeitgeist, with fashion directors such as Grace Coddington and Carine Roitfeld ever more influential.
"The Philippines is, alongside many other parts of the world, increasingly prone to natural disasters, and DfID has an opportunity to play an even more influential role in the global humanitarian system and increase the likelihood of future effectiveness".
Attachment to peers becomes increasingly important during adolescence (Smetana et al., 2006), and some have argued that peer attachment figures become more influential than parent attachment figures during this time (Cooper et al., 1998).
And few guitarists were more influential.
China is much more influential.
