  We show how to attach to any rigid analytic variety $V$ over a perfectoid
space $P$ a rigid analytic motive over the Fargues-Fontaine curve
$\mathcal{X}(P)$ functorially in $V$ and $P$. We combine this construction with
the overconvergent relative de Rham cohomology to produce a complex of solid
quasi-coherent sheaves over $\mathcal{X}(P)$, and we show that its cohomology
groups are vector bundles if $V$ is smooth and proper over $P$ or if $V$ is
quasi-compact and $P$ is a perfectoid field, thus proving and generalizing a
conjecture of Scholze. The main ingredients of the proofs are explicit
$\mathbb{B}^1$-homotopies, the motivic proper base change and the formalism of
solid quasi-coherent sheaves.
