Cover or cap adapted to be manually screwed/unscrewed by a user onto/from a container, a recipient, a vessel, or a similar article, comprising: - a body, made by moulding a plastic material, wherein said body, has along a respective upper surface or face (111") a manual grip or handle adapted to receive and be gripped by the fingers and the palm of the hand of the user, when screwing/unscrewing the cover or cap onto/from the container. wherein said manual grip or handle is formed by: - a bar which extends transversely along said upper surface or face of the body of the cover or cap and is sized in such a way as to be suitable to be gripped and embraced by the fingers and from the palm of the user's hand, with all or some of the four index finger, middle finger, ring finger and little finger (Ml) engaging and embracing, arranged side by side, said bar, and with the thumb finger closing on said body of the cover or cap, whereby said bar provides said manual grip or handle that is suitable for being gripped by the fingers and by the palm of the hand of the same user, when screwing/unscrewing the cover or cap onto/from the container. wherein said cover or cap is characterised in that said body is made up of two parts (111a, 111b), moulded separately, of which a first part defines said bar and a second part defines a lower wall of the body of the cover or cap. - a body, made by moulding a plastic material, wherein said body, has along a respective upper surface or face (111") a manual grip or handle adapted to receive and be gripped by the fingers and the palm of the hand of the user, when screwing/unscrewing the cover or cap onto/from the container. wherein said manual grip or handle is formed by: - a bar which extends transversely along said upper surface or face of the body of the cover or cap and is sized in such a way as to be suitable to be gripped and embraced by the fingers and from the palm of the user's hand, with all or some of the four index finger, middle finger, ring finger and little finger (Ml) engaging and embracing, arranged side by side, said bar, and with the thumb finger closing on said body of the cover or cap, whereby said bar provides said manual grip or handle that is suitable for being gripped by the fingers and by the palm of the hand of the same user, when screwing/unscrewing the cover or cap onto/from the container. wherein said cover or cap is characterised in that said body is made up of two parts (111a, 111b), moulded separately, of which a first part defines said bar and a second part defines a lower wall of the body of the cover or cap. wherein said body, has along a respective upper surface or face (111") a manual grip or handle adapted to receive and be gripped by the fingers and the palm of the hand of the user, when screwing/unscrewing the cover or cap onto/from the container. wherein said manual grip or handle is formed by: - a bar which extends transversely along said upper surface or face of the body of the cover or cap and is sized in such a way as to be suitable to be gripped and embraced by the fingers and from the palm of the user's hand, with all or some of the four index finger, middle finger, ring finger and little finger (Ml) engaging and embracing, arranged side by side, said bar, and with the thumb finger closing on said body of the cover or cap, whereby said bar provides said manual grip or handle that is suitable for being gripped by the fingers and by the palm of the hand of the same user, when screwing/unscrewing the cover or cap onto/from the container. wherein said cover or cap is characterised in that said body is made up of two parts (111a, 111b), moulded separately, of which a first part defines said bar and a second part defines a lower wall of the body of the cover or cap. - a bar which extends transversely along said upper surface or face of the body of the cover or cap and is sized in such a way as to be suitable to be gripped and embraced by the fingers and from the palm of the user's hand, with all or some of the four index finger, middle finger, ring finger and little finger (Ml) engaging and embracing, arranged side by side, said bar, and with the thumb finger closing on said body of the cover or cap, whereby said bar provides said manual grip or handle that is suitable for being gripped by the fingers and by the palm of the hand of the same user, when screwing/unscrewing the cover or cap onto/from the container. wherein said cover or cap is characterised in that said body is made up of two parts (111a, 111b), moulded separately, of which a first part defines said bar and a second part defines a lower wall of the body of the cover or cap. whereby said bar provides said manual grip or handle that is suitable for being gripped by the fingers and by the palm of the hand of the same user, when screwing/unscrewing the cover or cap onto/from the container. wherein said cover or cap is characterised in that said body is made up of two parts (111a, 111b), moulded separately, of which a first part defines said bar and a second part defines a lower wall of the body of the cover or cap.