I am not an expert but some interesting legal questions are raised and having encountered such situations myself, here are my two cents on them:
Maintenance applications can certainly be filed, concurrently or otherwise, under multiple Acts and such repeated filings do NOT constitute perjury. The key defense to such repeated filings, once maintenance is granted under an Act, is that there has been no change in circumstances to justify another trial to enhance the amount. If there is a change in circumstances, for example the wife has recently got married, husband's income has increased dramatically or a new child is born to the wife or something along these lines, even under the same Act a fresh maintenance application can be initiated by the wife.
If maintenance was denied under one Act, it is possible that it can be granted under another. The reason behind this is the language of maintenance under different Acts. It is the quantum of maintenance that can be defended more easily, once granted. There are also technicalities such as arrears in maintenance, if never applied before, which a wife/woman may qualify under one Act but not under another. Defenses such as laches, constructive res judicata or law of limitations may not survive for some Acts but may for others. These subtle technicalities, in matters of arrears in maintenance never applied earlier, can be used by a wife to serious detriment of the husband. The situation can also be that circumstances may have improved for the wife - she may have taken a job which she did not have earlier - such change in circumstances allow applications to be filed by the husband to amend or eliminate the maintenance granted earlier. Such applications should be filed under the very Act under which the maintenance sought to be reduced was granted.
Contrary to popular belief, the Act under which maintenance is filed is very relevant to offer defenses and defenses need to be worded with the Act in mind. However, once it is found that the defenses do not apply, the issue is that of quantum of maintenance and for that the Act under which it is filed may not matter significantly. Therefore, once maintenance is granted under one Act, any subsequent applications, filed under any Act, for enhancement, reduction or elimination, absent a material change in circumstances, will not survive a dismissal application.
Now, lets talk about suppression of maintenance already granted in fresh applications. This comes under suppression of material facts and not perjury in Indian jurisdictions, even if the suppression was under Oath and the suppressed fact/evidence was material to the controversy. My reading on the subject (because my wife had materially suppressed numerous facts in her petitions/applications) is that the Court can dismiss the petition but she can refile it with full disclosure. There are numerous, general case laws on the subject on suppression of material facts. In the end, suppression of material facts only delays the proceeding - Husbands usually like things to move fast. So, it is better to raise the issue, lead evidence to allow new facts which were suppressed and let the trial continue and not seek dismissal.
Penalties for suppression of material facts? If our Courts did that, all wives coming to Family Court would be in jail or paying hefty fines because as we all know, they always suppress, not one, but many material facts - not just on maintenance but everything. However, that said, suppression of material facts in an application for maintenance, which relates to the issue of quantum of maintenance, and doing so in the application under Oath as well as during cross-examination under Oath and later proving to be false, has been found to constitute perjury with corresponding penalties - civil and criminal. For example, if a wife claims to be unemployed, testifies under Oath and is later found to be employed, perjury charges will survive. There are sufficient case laws in support.
Hope this info is useful.