When selecting transform tools with mouse, move gizmos rotation is the same as the objects after rotating the object. Using keyboard shortcuts (w,e) to rotate and then move, gizmo stays at the default rotation in Global space.

To reproduce:
1.Open any project
2.Make sure Global space is selected
3.Select object
4.With your mouse, select rotation in transform toolbar
5.Rotate the object
6.Select move tool
7.Observe as the move gizmos rotation matches the object rotation
8.Select the object
9.Press "E" on the keyboard to rotate the object
10.Press "W" to select move tool
11.Observe as the move gizmo is at the default rotation

Reproduced on:
5.3.6f1 5.4.3f1 5.5.1f1 5.5.2p2 5.6.0b10 5.6.0b11 2017.1.0a2

Win 10 Pro

Notes: after selecting move tool with the mouse, pressing "W" on the keyboard, resets gizmos rotation.

Screen recording attached