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Interactive learning platforms are in the top choices to acquire new languages. Such applications or platforms are more easily available for spoken languages, but rarely for sign languages. Assessment of the production of signs is a challenging problem because of the multichannel aspect (e.g., hand shape, hand movement, mouthing, facial expression) inherent in sign languages. In this paper, we propose an automatic sign language production assessment approach which allows assessment of two linguistic aspects: (i) the produced lexeme and (ii) the produced forms. On a linguistically annotated Swiss German Sign Language dataset, SMILE DSGS corpus, we demonstrate that the proposed approach can effectively assess the two linguistic aspects in an integrated manner.