An apparatus that is a user equipment, UE, or a component thereof, the apparatus comprising: a transmission unit configured to and/or programmed to transmit a random access preamble; and a reception unit configured to and/or programmed to receive a random access response, wherein the apparatus is configured, in a case that the random access response is successfully received for the first time in a current random access procedure: - to indicate to a multiplexing and assembly entity to include a medium access control control element, MAC CE, for a cell radio network temporary identifier, C-RNTI, in a subsequent uplink transmission, - if the random access procedure is triggered for a beam failure recovery, o to indicate to the multiplexing and assembly entity to include a MAC CE for a failure recovery, in the subsequent uplink transmission, o to obtain a MAC Packet Data Unit, PDU, including the MAC CE for the C-RNTI and the MAC CE for the failure recovery, from the multiplexing and assembly entity, and o to store the MAC PDU in a buffer, wherein the apparatus is further configured in a way that a multiplexing and assembly processing priority of the MAC CE for the failure recovery is lower than that of the MAC CE for the C-RNTI, is higher than that of a MAC CE for a buffer status report, BSR and is higher than that of a MAC CE for a power headroom report, PHR. a transmission unit configured to and/or programmed to transmit a random access preamble; and a reception unit configured to and/or programmed to receive a random access response, wherein the apparatus is configured, in a case that the random access response is successfully received for the first time in a current random access procedure: - to indicate to a multiplexing and assembly entity to include a medium access control control element, MAC CE, for a cell radio network temporary identifier, C-RNTI, in a subsequent uplink transmission, - if the random access procedure is triggered for a beam failure recovery, o to indicate to the multiplexing and assembly entity to include a MAC CE for a failure recovery, in the subsequent uplink transmission, o to obtain a MAC Packet Data Unit, PDU, including the MAC CE for the C-RNTI and the MAC CE for the failure recovery, from the multiplexing and assembly entity, and o to store the MAC PDU in a buffer, - to indicate to a multiplexing and assembly entity to include a medium access control control element, MAC CE, for a cell radio network temporary identifier, C-RNTI, in a subsequent uplink transmission, - if the random access procedure is triggered for a beam failure recovery, o to indicate to the multiplexing and assembly entity to include a MAC CE for a failure recovery, in the subsequent uplink transmission, o to obtain a MAC Packet Data Unit, PDU, including the MAC CE for the C-RNTI and the MAC CE for the failure recovery, from the multiplexing and assembly entity, and o to store the MAC PDU in a buffer, o to indicate to the multiplexing and assembly entity to include a MAC CE for a failure recovery, in the subsequent uplink transmission, o to obtain a MAC Packet Data Unit, PDU, including the MAC CE for the C-RNTI and the MAC CE for the failure recovery, from the multiplexing and assembly entity, and o to store the MAC PDU in a buffer, wherein the apparatus is further configured in a way that a multiplexing and assembly processing priority of the MAC CE for the failure recovery is lower than that of the MAC CE for the C-RNTI, is higher than that of a MAC CE for a buffer status report, BSR and is higher than that of a MAC CE for a power headroom report, PHR.