Hi Diego,
I'm not sure... the sinusoidal projection was contributed by a 3rd party
(not a core developer)
but I can see Daniele (cc'ed) made a few changes to it six months ago....
not sure if that's related or not.

However, I've tried your definition with cs2cs, the command line coordinate
transformer based on the same
library as qgis, and I'm getting results consistent with GeoServer:

> cs2cs +proj=sinu +lon_0=0 +x_0=0 +y_0=0 +a=6371007.181 +b=6371007.181
+units=m +no_defs +init=epsg:4326 -f "%.2f"
-5510409 -3667583
-59.14 -33.17 -7122.67
-5505545 -3662718
-59.06 -33.13 -7122.69

Not sure how QGis is giving you other results? Could be version related,
don't know, the proj I have on my LTS distribution
is getting old:
Rel. 4.8.0, 6 March 2012

That said, I don't see significant changes in proj for that projection, the
two recent changes look just refactorings to me, not
bug fixes:
https://github.com/OSGeo/proj.4/commits/master/src/PJ_gn_sinu.c

Cheers
Andrea



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