That config helped (partially):

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UrlToolkit {
ToolkitID = selfoss
Match ^/selfoss/favicons/(.*)$ Rewrite /selfoss/data/favicons/$1
Match ^/selfoss/thumbnails/(.*)$ Rewrite /selfoss/data/thumbnails/$1
Match ^/selfoss/update$ Rewrite /selfoss/update.php
Match ^/selfoss/(.*\.(js|ico|gif|jpg|png|css|asc|txt|eot|woff|ttf|svg))$ Rewrite /selfoss/public/$1
Match ^/selfoss/(.*?)(\?.+)? Rewrite /selfoss/index.php$1$2
Match ^/selsoss/(.*)$ Rewrite /selfoss/index.php$1
}
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But while marking items as read a message pops up: Can not mark all visible item:Method Not Allowed
.