  We use Faraday rotation measurements from the latest catalog LoTSS DR2 from
LOFAR to probe intergalactic magnetic fields. To identify the extragalactic
component of the observed rotation measure (RM) we use two different
techniques: residual rotation measure (RRM) and close radio pairs. For the RRM
approach, we conclude that, despite smaller measurement errors in the LOFAR
data, robust and conservative treatment of the systematic uncertainties in the
Galactic contribution to RM results in the constraint on a homogeneous
volume-filling magnetic field at the level 2.4 nG, slightly weaker than
previous constraints from NVSS data, and does not allow to probe the presence
of over-magnetized bubbles predicted by the AGN feedback model of the
IllustrisTNG. Analyzing close radio pairs we found that in only 0.5% of our
mock realizations of observed data, the expected contribution from the
over-magnetized bubbles does not exceed LoTSS DR2 data.
