Thanks! Yes, my mod actually scans the target inventories of nodes and lets you pick from a list of common ones - I've checked some of the storage options in TechAge, and Logistica should let you put into TA chests without problem.
Basically Logistica is compatible with anything that names its internal inventories with the standard names of 'main', 'src', 'dst', 'fuel', 'input', 'output' etc.
The TA grinder and sieve might require a bit of tweaking - you should still be able to insert materials into them, and if they're already running, it will work fine. The problem might be if you use Logistica to insert materials into a machine that's on Standby, it may not wake it up and start processing at the moment. I will have to check and will update the mod if necessary. Also feel free to let me know if you find issues with them.
Also to point out, you should be able to take items out of TA nodes using Logistica's Network Importer without any issues - all of TA's nodes that have storage (chests, grinders, sieves, etc) use standard inventory names that Logistica will take from without problem