This paper proposes an adaptive hybrid forward error correction (AH-FEC) coding scheme for coping with dynamic packet loss events in video and audio transmission. Specifically, the proposed scheme consists of a hybrid Reed-Solomon and low-density parity-check (RS-LDPC) coding system, combined with a Kalman filter-based adaptive algorithm. The hybrid RS-LDPC coding accommodates a wide range of code length requirements, employing RS coding for short codes and LDPC coding for medium-long codes. We delimit the short and medium-length codes by coding performance so that both codes remain in the optimal region. Additionally, a Kalman filter-based adaptive algorithm has been developed to handle dynamic alterations in a packet loss rate. The Kalman filter estimates packet loss rate utilizing observation data and system models, and then we establish the redundancy decision module through receiver feedback. As a result, the lost packets can be perfectly recovered by the receiver based on the redundant packets. Experimental results show that the proposed method enhances the decoding performance significantly under the same redundancy and channel packet loss.