CJA - second backfill after connection is alredy made

Case is like this:

1. Ingested data into AEP 
2. Build connections in CJA 
3. Build some Workspace 
4. Added additional data from the past to AEP (same datasets which were used in point 1) 
5. Is there any way to  force backfill to CJA for the second time? Any workarounds?