  In this paper we obtain an effective metric describing a regular and rotating
magnetic black hole (BH) solution with a Yang-Mills electromagnetic source in
Einstein-Yang-Mills (EYM) theory using the Newman--Janis algorithm via the
non-complexification radial coordinate procedure. We then study the BH shadow
and the quasinormal modes (QNMs) for massless scalar and electromagnetic fields
and the quasiperiodic oscillations (QPOs). To this end, we also study the
embedding diagram for the rotating EYM BH. The energy conditions, shadow
curvature radius, topology and the dynamical evolution of scalar and
electromagnetic perturbations using the time domain integration method are
investigated. We show that the shadow radius decreases by increasing the
magnetic charge, while the real part of QNMs of scalar and electromagnetic
fields increases by increasing the magnetic charge. This result is consistent
with the inverse relation between the shadow radius and the real part of QNMs.
In addition, we have studied observational constraints on the EYM parameter
$\lambda$ via frequency analysis of QPOs and the EHT data of shadow cast by the
M87 central black hole. We also find that the decaying rate of the EYM BH is
slower than that of the neutral and ends up with a tail. We argue that the
rotating EYM black hole can be distinguished from the Kerr-Newman black hole
with a magnetic charge based on the difference between the angular diameters of
their shadows.
