  Parameterization of heavy effects beyond the Standard Model is available
using higher-dimension operators of the effective field theory and their Wilson
coefficients, where their values are not known. Experimental sensitivity to the
Wilson coefficients can be significantly changed in case of the usage of
composite anomalous signal, which contains anomalous contributions from
background processes in addition to the conventional ones from the signal
process. In this work, this approach is applied to the search for anomalous
quartic gauge couplings with seven EFT operators in the electroweak production
of $ZZ(\rightarrow\ell\ell\nu\nu)jj$ and $Z\gamma(\rightarrow\nu\nu\gamma)jj$
in $pp$ collisions. For the majority of coefficients sensitivity in the former
channel is smaller than that in the latter one. However, it is shown that
composite anomalous signal affects $ZZ(\rightarrow\ell\ell\nu\nu)jj$ production
stronger than $Z\gamma(\rightarrow\nu\nu\gamma)jj$ production, making
sensitivities closer. One-dimensional limits on the Wilson coefficients are
changed up to 27.3% and 9.7% due to the background anomalous contributions in
$ZZ(\rightarrow\ell\ell\nu\nu)jj$ and $Z\gamma(\rightarrow\nu\nu\gamma)jj$
productions respectively.
