should be verb-ING

Points 141 (general), 164 and 177 in Modality either are used for obligation or expectation. A search for should be _v?g* in the iWeb corpus finds the following present participles:

1 SHOULD BE DOING 24974

Further collocates 4 left and right:

1 WHAT (DDQ ) 7756

2 SOMETHING (PN1 ) 1554

3 THINGS (NN2 ) 1303
4 THING (NN1 ) 600

5 ELSE (RR ) 544

6 EVERYTHING (PN1 ) 476

7 ANYWAY (RR ) 455

8 DIFFERENTLY (RR ) 152
9 HOMEWORK (NN1 ) 82

10 THINKS (VVZ ) 62

2 SHOULD BE LOOKING 14641
3 SHOULD BE USING 12086
4 SHOULD BE GETTING 8297
5 SHOULD BE WORKING 6485
6 SHOULD BE TAKING 5622
7 SHOULD BE ASKING 5531
8 SHOULD BE THINKING 3931
9 SHOULD BE GOING 3911
10 SHOULD BE MAKING 3902
11 SHOULD BE EATING 3855
12 SHOULD BE PAYING 3595

13 SHOULD BE FOCUSING 2836

  Daily Mail

Naomi Osaka ‘creeped out’ by critics of Instagram bikini shots

One Instagram user told the tennis star that she should be ‘focusing on the upcoming competitions’, suggesting that posting images of herself …

14 SHOULD BE RUNNING 2754
15 SHOULD BE COMING 2380
16 SHOULD BE TRYING 2377
17 SHOULD BE PLAYING 2339
18 SHOULD BE SEEING 1908
19 SHOULD BE AIMING 1905
20 SHOULD BE SPENDING 1860