  We construct an effective Floquet lattice model for the triangular network
that emerges in interlayer-biased minimally twisted bilayer graphene and which
supports two chiral channels per link for a given valley and spin. We introduce
the Floquet scheme with the one-channel triangular network and subsequently
extend it to the two-channel case. From the bulk topological index (winding
number) and finite system calculations, we find that both cases host anomalous
Floquet insulators (AFIs) with a different gap-opening mechanism. In the
one-channel network, either time-reversal or in-plane inversion symmetry has to
be broken to open a gap. In contrast, in the two-channel network, interchannel
coupling can open a gap without breaking these symmetries yielding a valley AFI
with counterpropagating edge states. This phase is topologically trivial with
respect to the total winding number but robust in the absence of intervalley
scattering. Finally, we demonstrate the applicability of the Floquet model with
magnetotransport calculations.
