Is the following sentence grammar correct ? "Her acting career officially began in 2002 when she landed her first TV role. Other small parts on TV and in a few films followed." Does "followed" in the sentence need an object ? If no, I thought it should be "Other small parts on TV and in a few films is followed". Is my understanding correct?
Your understanding is not correct. In your example, the verb 'follow' is used intransitively to mean 'come after in time or order'.
2 Come after in time or order.
‘the six years that followed his restoration’
no object: ‘the rates are as follows’