  Warps have often been used to explain disc properties, but well characterised
examples are important due to their role in disc evolution. Scattered light
images of discs with central gaps have revealed sharp warps, such that the
outer rings are shadowed by tilted inner discs. The near-IR intensity drops
along the ring around TTauri star DoAr44 have been interpreted in terms of a
central warp. We report new ALMA observations of DoAr44 in the continuum at 230
GHz and 350 GHz (at ~10 au), along with a new epoch of SPHERE/IRDIS
differential polarised imaging taken during excellent weather conditions. The
ALMA observations resolve the ring and confirm the decrements proposed from
deconvolution of coarse 336 GHz data. The scattered light image constrains the
dips, which correspond to a misaligned inner disc with a relative inclination
$\xi$ = 21.4 $^{+6.7}_{-8.3}$ deg. The SPHERE intensity profile shows a
morphological change compared to a previous epoch that may be interpreted as a
variable orientation of the inner disc, from $\xi$ ~30 deg to $\xi$ ~20 deg.
The intensity dips probably correspond to temperature decrements, as their
mm-spectral index, $\alpha^{230 GHz}_{350 GHz}$ ~2.0 $\pm$ 0.1, is indicative
of optically thick emission. The azimuth of the two temperature decrements are
leading clockwise relative to the IR-dips, by $\eta$ = 14.95 deg and $\eta$ =
7.92 deg. For a retrograde disc, such shifts are expected from a thermal lag
and imply gas surface densities of $\Sigma_g$ = 117 $\pm$ 10 g/cm$^2$ and
$\Sigma_g$ = 48 $\pm$ 10 g/cm$^2$. A lopsided disc, with contrast ratio
$f_r$=2.4 $\pm$ 0.5, is also consistent with the large continuum crescent.
