  Two dimensional moir\'e systems have recently emerged as a platform in which
the interplay between topology and strong correlations of electrons play out in
non-trivial ways. Among these systems, twisted double bilayer graphene (TDBG)
is of particular interest as its topological properties may be tuned via both
twist angle and applied perpendicular electric field. In this system, energy
gaps are observed at half filling of particular bands, which can be associated
with correlated spin polarized states. In this work, we investigate the fate of
these states as the system is doped away from this filling. We demonstrate
that, for a broad range of fractional fillings, the resulting ground state is
partially valley polarized, and supports multiple broken symmetries, including
a textured spin order indicative of skyrmions, with a novel $\textit{stripe}$
ordering that spontaneously breaks $C_3$ symmetry. Experimental signatures of
this state are discussed.

Mesoscale and Nanoscale Physics;Strongly Correlated Electrons