Boson Consensus - A Scalable Blockchain Consensus Algorithm

The BP of the destination shard may not include the root block that contains the cross-shard transaction receipt if it doesn’t observe the root block or the cross-shard transaction receipts are not ready (e.g. downloaded from the source shard):

As a result, even the root chain/beacon arrives to a BP before the cross-shard transactions receipts, the BP could choose not to process the cross-shard transactions receipts at the cost of losing cross-shard tx fee or full block reward: