The invention relates to a flexible, self-supporting, anti-adhesive, and cellular membrane defining a mould or a cavity plate for preparing food products, particularly bakery, viennoiserie, pastry, and biscuit products, and in particular for moulding, fermenting, and baking bread dough, and which includes a composite structure including a silicone rubber mould (10) consisting of at least one elastomer or at least one silicon resin, and reinforced by a textile-structure framework (11) made of a mixture of inorganic and organic threads (12, 13) and/or fibres. The membrane of the invention is characterised in that the inorganic and organic threads (12, 13) and/or fibres represent more than 50 wt % of the textile structure of the framework (11).