"consequently influence" is correct and usable in written English.
You can use it when referring to an action that had a different result or outcome than was expected. For example, "The low temperatures consequently influenced the growth of the plants."
"This adds to a growing body of evidence that sex-specific regulation of gene expression may play an important role in neural plasticity and, consequently, influence differences in behaviours - and in disease susceptibility - between the sexes".
They consequently influence displacement efficiency, and, to a lesser extent, sweep efficiency.
Lorentz force, is considered as an efficient means to change the flow and consequently influence solute redistribution.
The lifestyle of the Roma minority can cause obesity and overweight, and consequently influence the health of individuals.
Accordingly, factors such as surface chemistry and roughness at the micro- and nanoscale determine wettability and consequently influence the biological reactions at biomaterial surfaces [28].
This is particularly true for woven composites in which the fabric architecture may generate unexpected local normal stresses and consequently influence the fracture occurrence.
Perceived fit and perceived tie positively impact users' evaluations of online brand extension, and consequently influence users' intention to use the extended products.
Dispersal capacities can strongly determine an individual's ability to respond to changing environmental conditions, which would consequently influence the structure of natural communities.
In patients who suffer from chronic disease, Attention Deficit Hyperactivity Disorder (ADHD) is associated with functional impairment that can affect adherence to treatment and consequently influence prognosis.
Population-scale transcriptome studies have revealed many naturally occurring genetic variants that modulate alternative splicing and consequently influence phenotypic variability and disease susceptibility in human populations.
Suggestively, the rigid, bent SPI moieties would impose a nonlinear geometry on the connected spacers and mesogenic units and consequently, influence its chain arrangement in the mesomorphic state.
