How do I configure a parameter to support Time-Series data?

Set the appropriate flag when creating the parameter. Example for Simple Time Series Data:

esp_rmaker_param_t *param = esp_rmaker_param_create("Mode", ESP_RMAKER_PARAM_MODE,
    esp_rmaker_int(1), PROP_FLAG_READ | PROP_FLAG_SIMPLE_TIME_SERIES);

For Time Series Data, use PROP_FLAG_TIME_SERIES instead.